diff --git "a/DtFRT4oBgHgl3EQfATdu/content/tmp_files/load_file.txt" "b/DtFRT4oBgHgl3EQfATdu/content/tmp_files/load_file.txt" new file mode 100644--- /dev/null +++ "b/DtFRT4oBgHgl3EQfATdu/content/tmp_files/load_file.txt" @@ -0,0 +1,1600 @@ +filepath=/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf,len=1599 +page_content='Investigating fission dynamics of neutron shell closed nuclei 210Po, 212Rn and 213Fr within a stochastic dynamical approach Divya Arora, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Sugathan,∗ and A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Chatterjee Inter-University Accelerator Centre, Aruna Asaf Ali Marg, New Delhi 110067, India Dissipative dynamics of nuclear fission is a well confirmed phenomenon described either by a Kramers-modified statistical model or by a dynamical model employing the Langevin equation.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Though dynamical models as well as statistical models incorporating fission delay are found to explain the measured fission observables in many studies, it nonetheless shows conflicting results for shell closed nuclei in the mass region 200.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Analysis of recent data for neutron shell closed nuclei in excitation energy range 40−80 MeV failed to arrive at a satisfactory description of the data and attributed the mismatch to shell effects and/or entrance channel effects, without reaching a definite conclusion.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' In the present work we show that a well established stochastic dynamical code simultaneously reproduces the available data of pre-scission neutron multiplicities, fission and evaporation residue excitation functions for neutron shell closed nuclei 210Po and 212Rn and their isotopes 206Po and 214,216Rn without the need for including any extra shell or entrance channel effects.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The calculations are performed by using a phenomenological universal friction form factor with no ad-hoc adjustment of model parameters.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' However, we note significant deviation, beyond experimental errors, in some cases of Fr isotopes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' INTRODUCTION Fission of atomic nuclei is considered to be one of the most complex physical phenomena in nuclear physics.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' It involves rapid re-arrangement of nuclear matter with a delicate interplay between the macroscopic bulk matter and the microscopic quantal properties [1, 2].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Though properties of fission have been studied exhaustively, many aspects of the dynamics are still not well-understood.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' For instance, discrepancies are reported between the mea- sured fission observables and the predictions of the clas- sical theory based on the standard Bohr-Wheeler statis- tical model of fission [3].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Fission hindrance, enhanced pre-scission particle and giant dipole resonance (GDR) γ-ray multiplicities observed in hot nuclei suggested the effects of nuclear dissipation slowing down the fission pro- cess [4–10].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' To account for frictional effects, Kramers dif- fusion model formalism with modified fission width [11], referred to as Kramers-modified statistical model was in- cluded in the standard statistical theory.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Although nature and strength of the nuclear dissipa- tion have been studied quite extensively, a simultaneous description of the experimental observables, namely, pre- scission neutron multiplicities (νpre), fission excitation functions and evaporation residue (ER) cross-sections still remains challenging.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Additionally, the dissipation coefficient is treated as an adjustable free parameter in the statistical model analysis.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The pre-fission lifetime (or the dissipation strength), the level density parameter at ground state and saddle point deformation and fission barrier are empirically fitted to explain the νpre and/or fission and ER cross-section data [6, 12–15].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' As a result, the conclusions reached are often system dependent and are inadequate to provide a consistent description of the ∗ sugathan@gmail.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='com fission process.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Inadequate modelling of fission in statistical model can drastically influence the understanding of the fission phe- nomenon [16, 17].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' This is especially observed in mass (A) ≈ 200 region that is explored here, to understand the role of N=126 neutron shell closure in the fissioning com- pound nucleus (CN).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' An anomalous increase in the exper- imental fission fragment angular anisotropy was reported for 210Po (N=126) as compared to 206Po (non-shell closed nuclei) across an excitation energy range (Eex) ≈ 40−60 MeV and was conjectured to be a manifestation of shell effects at the unconditional saddle [18].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Further, a con- siderable amount of saddle shell correction was invoked to describe the experimental νpre data for 210Po nuclei [19].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' However, a re-investigation of the experimental ex- citation functions and νpre data of 210Po ruled out any significant shell influence on the saddle [20] after corre- lated tuning of statistical-model parameters and inclu- sion of fission delay.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Another interesting aspect is the contradictory inter- pretation for correlation between neutron shell structure and nuclear dissipation strength that was required to re- produce the measured ER and νpre excitation functions in N=126 shell closed nuclei, namely 212Rn and 213Fr.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The theoretical analysis of νpre data of 212Rn [21] and 213Fr [22] reported a low dissipation strength at Eex ≈ 50 MeV which was attributed to the influence of neu- tron shell closure.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' On the contrary, no discernible shell influence was reported from ER cross-section studies of 212Rn and its isotope [23], though moderate nuclear dis- sipation was required to describe the data.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' It must be noted that the magnitude of dissipation invoked to ex- plain the experimental ER cross-sections varied within Rn isotopes [23, 24], which is again found to be different for the description of the νpre data [21].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Interestingly, in case of Fr nuclei, the finite-range liquid drop model fission barrier was scaled down, particularly for 213Fr to fit measured ER cross-section [15].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' This reduction of the arXiv:2301.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='13461v1 [nucl-th] 31 Jan 2023 2 fission barrier is in disagreement with the predictions for the shell closed nuclei [25].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' One notable observation is the reported interpretation of reduced survival probability of 213Fr nucleus due to neutron shell which is in contrast to the isotopic trend reported for Rn isotopes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Further, the fission cross-section of 213Fr is reported to exhibit no extra stability from N=126 shell closure [26].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' In the statistical model approach followed in these works, no at- tempts were made to extract a global prescription of the parameters, rather, a case specific adjustment of dissipa- tion strength was involved.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The influence of neutron shell structures on the potential energy surface and hence fis- sion observables are still quite ambiguous.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Apart from just shell influence, entrance channels effects are also probed in a couple of recent publications to understand the experimental νpre data for 213Fr nuclei [27, 28].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' These studies reportedly observed a deviation in the measured data from the predictions of entrance channel model for 16O- and 19F-induced reactions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' These studies substantiate the view that no consistent picture has emerged from recent independent analysis of each fission observable for neutron shell closed nuclei 210Po, 212Rn and 213Fr and their isotopes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Inadequa- cies of standard statistical model interpretations have been addressed by employing Kramers-modified fission width taking into account shape-dependent level den- sity, temperature-dependent fission transition points, ori- entation (K state) degree of freedom and temperature- independent reduced dissipation coefficient [16, 17].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' At- tempts for restraining the statistical-model parameters have also been reported [29], but a consistent description of experimental data for all three observables, namely νpre, fission and ER excitation functions for shell closed nuclei still could not be achieved.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Recent developments in multi-dimensional stochastic approach are fairly suc- cessful in describing the fission characteristics of excited nuclei [30–35].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' However, a simultaneous description of the experimental data and a systematic study for shell closed nuclei has not been attempted yet and is further required.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' In this paper, we show that the dynamical model based on 1D Langevin equation coupled with a statistical ap- proach [36] can simultaneously reproduce νpre, fission and ER cross-section data of shell closed nuclei over a range of excitation energies (Eex ≈ 40−80 MeV) of the measurements.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The present calculations are performed without adjusting any of the model parameters, thus pro- vides a unified framework for a simultaneous study of these fission observables for nuclei in A ≈ 200 region.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' We re-investigated the available experimental data for the neutron shell closed nuclei 210Po, 212Rn and 213Fr, and their non-shell closed isotopes 206Po, 214,216Rn and 215,217Fr.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' It is observed that a universal deformation- dependent reduced friction parameter is able to describe the fission observables simultaneously at all measured en- ergies irrespective of the shell structure of the nuclei.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' II.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' THEORETICAL MODEL DESCRIPTION A combined dynamical and statistical model code [37] is utilized to compute the fission observables of nuclei under study.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The detailed description of the theoreti- cal aspects of the model can be found in Refs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [36, 38].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The dynamical part of the model is carried out with a 1D Langevin equation of motion governed by a driving potential that is determined by free energy F(q, T), as employed in recent Refs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [39–44].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The free energy as derived from the Fermi gas model is related to the defor- mation dependent level density parameter a(q, A) as F(q, T) = V(q) - a(q, A)T 2 where T is the nuclear temper- ature, q is the dimensionless deformation coordinate de- fined as the ratio of half the distance between the center of masses of future fission fragments to the radius of CN and V (q) is the nuclear potential energy obtained from the finite-range liquid drop model [45, 46].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Fr¨obrich [47] and Lestone et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [17] have emphasized on using nuclear entropy given by, S(q, A, Etot) = 2 � a(q, A)[Etot − V (q)] in determining the driving force and therefore, it is em- ployed as a crucial quantity in the model.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The nuclear driving force K = - dV (q) dq + da(q) dq T 2, not only consists of a conservative force but also contain a thermodynami- cal correction that enters the dynamics via.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' level density parameter a(q, A).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The deformation dependent level den- sity parameter used in constructing the entropy has the form [48]: a(q, A) = ˜a1A + ˜a2A2/3Bs(q) (1) where A is the mass number of the CN and ˜a1 = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='073 MeV−1 and ˜a2 = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='095 MeV−1 are taken from Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [49].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Bs(q) is the dimensionless functional of the surface en- ergy [34, 38, 43, 50], expressed as the ratio of surface energy of the composite system to that of a sphere.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The over-damped Langevin equation which describes the fission process in the dynamical part of the model thus, has the form [36]: dq dt = T Mβ(q) �∂S(q) ∂q � Etot + � T Mβ(q)Γ(t) (2) where Etot is the total energy of the composite system that remains conserved and Γ(t) is a Markovian stochas- tic variable with a normal distribution.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The reduced dis- sipation coefficient β(q) = γ/M (as employed in litera- ture, see e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=', Refs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [16, 29, 42, 44] (and Refs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' therein)) is the ratio of friction coefficient γ to the inertia param- eter M calculated with Werner-Wheeler approximation of an incompressible irrotational fluid [51].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The present model employs ”funny−hills” parameters {c,h,α} [52] for describing the shape of the fissioning nuclei.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Tak- ing into account only symmetric fission, the mass asym- metry parameter of the shape evolution is set to α=0 [36, 38, 50].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The dimensionless fission coordinate (q) is given by q(c,h)= ( 3c 8 )(1+ 2 15[2h+ (c−1) 2 ]c3), where c and h 3 defines the elongation and neck degree of freedom of the fissioning nucleus, respectively [36, 43, 53, 54].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Following the fission dynamics through full Langevin dynamical calculation is quite time consuming.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Similar to previous Langevin studies [31, 36, 39–43], a compu- tationally less intensive approach is adopted in present study where the dynamical stage is coupled with a sta- tistical model.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' In the present calculations, the emission of light particles from ground state to scission config- uration along the Langevin trajectories is treated as a discrete process.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The evaporation of pre-scission light particles from ground state of Langevin trajectories to the scission point is coupled to the fission mode by a Monte Carlo procedure.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The decay width for light parti- cle evaporation at each Langevin time step is calculated with the formalism as suggested by Fr¨obrich et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [36] and later incorporated in Refs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [34, 40–43].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The emission width of a particle of kind ν (n,p,α) is given by [55]: Γν = (2sν + 1) mν π2ℏ2ρc(Eex) × � (Eex−Bν) 0 dϵνρR(Eex − Bν − ϵν)ϵνσinv(ϵν) (3) where sν is the spin of emitted particle ν, and mν is its reduced mass with respect to the residual nucleus.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The level densities of the compound and residual nuclei are denoted by ρc(Eex) and ρR(Eex − Bν − ϵν).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Bν is the liquid-drop binding energy, ϵ is the kinetic energy of the emitted particle and σinv(ϵν) is the inverse cross sections [55].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The decay width for light particle emission is calculated at each Langevin time step τ [43, 53, 54].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' When a stationary flux over the barrier is reached af- ter a sufficiently long delay time, the decay of the CN is then modelled by an adequately modified statistical model [38, 56, 57].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' To have continuity when switching from dynamical to statistical branch, an entropy depen- dent fission width is incorporated in the latter.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' While en- tering the statistical branch, the particle emission width Γν is re-calculated and the fission width Γf = ℏRf [36] is calculated with fission rate (Rf) given by, Rf = Tgs � |S ′′ gs|S ′′ sd 2πMβgs exp[S(qgs) − S(qsd)] × 2(1+erf[(qsc − qsd) � S ′′ sd/2])−1 (4) Here erf(x) = (2/√π) � x 0 dt exp(−t2) is the error func- tion and βgs is ground state dissipation coefficient.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The saddle-point (qsd) and the ground-state positions (qgs) are defined by the entropy and not, as in the conventional approach, by the potential energy.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The standard Monte Carlo cascade procedure was used to select the kind of decay with weights Γi/Γtot (i=fission,n,p,d,α) and Γtot = � i Γi.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Pre-scission particle multiplicities are calculated by counting the number of corresponding evaporated par- ticle events registered in the dynamical and statistical branch of the model.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The Langevin equation is started from a ground state configuration with a temperature corresponding to the initial excitation energy.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The fusion cross-section can be determined from the partial cross section dσ(l) dl which represent the contribution of angular momenta l to the total fusion cross-section.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Each Langevin trajectory is started with an orbital angular momentum which is sam- pled from a fusion spin distribution that reads as [34, 36]: dσ(l) dl = 2π k2 2l + 1 1 + exp (l−lc) δl (5) The final results are weighted over all relevant waves, that is, the spin distribution is used as an angular momen- tum weight function with which the Langevin calcula- tions for fission are started.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' As shown in recent Langevin studies, [34, 39–44], the spin distribution is calculated with the surface friction model [58].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' This calculation also fixes the fusion cross-section thus guaranteeing the correct normalization of fission and evaporation residue cross-sections within the accuracy of the surface friction model.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The parameters lc and δl are the critical angular momentum for fusion and diffuseness, respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The fission observables that will be discussed in sub- sequent sections are calculated in the model as follows.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The pre-scission neutron multiplicity is the number of neutrons emitted by the CN till it reaches the scission configuration.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The fission probability (Pf) is given by the ratio of fissioned trajectories to total trajectories.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The CN survival probability (1-Pf) is given by number of trajectories leading to ER formation divided by total trajectories and the fission (ER) cross-section is given by the product of fission (survival) probability and fusion cross-section.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' III.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' RESULTS AND DISCUSSION In the present study, pre-scission neutron multiplic- ities, fission and ER excitation functions for 206,210Po, 212,214,216Rn and 213,215,217Fr compound nuclei are com- puted and compared with available experimental data wherein 210Po, 212Rn and 213Fr are N=126 neutron shell closed nuclei.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The table I shows important parameters for the reactions studied in this work.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The dynamical cal- culations are performed with a universal frictional form of Refs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [36, 47, 57] without adjusting any of the model parameters with a consistent prescription of the dissipa- tion coefficient.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' To account for sufficient statistics, 107 Langevin trajectories are considered in the model calcu- lations.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 1 shows the results of dynamical calculations compared with the experimental data of νpre, fission and ER cross-sections for 206Po formed via.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 12C+194Pt [18, 19, 59] reaction and 210Po formed through two dif- ferent entrance channel reactions, namely 12C+198Pt [18, 19, 60] and 18O+192Os [5, 60, 61], spanning a wide range of excitation energy.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The excitation energies shown 4 TABLE I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Important parameters of reactions studied CN fissility Sn Bf(l=0) Reaction Mass excess (MeV) α/αBG (MeV) (MeV) target(proj) CN 206Po 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='717 7.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='99 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='51 12C+194Pt 34.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='79(0) 18.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='83 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='043 210Po 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='711 7.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='38 11.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='22 12C+198Pt 29.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='93(0) 16.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='33 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='050 18O+192Os -35.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='89(-0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='78) -16.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='33 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='982 212Rn 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='732 7.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='83 8.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='88 18O+194Pt -34.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='79(-0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='78) 9.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='26 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='970 214Rn 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='729 7.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='54 9.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='19 16O+198Pt -29.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='93(-4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='74) 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='77 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='996 216Rn 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='727 7.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='25 9.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='49 18O+198Pt -29.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='93(-0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='78) 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='70 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='977 213Fr 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='743 8.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='06 7.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='83 16O+197Au -31.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='16(-4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='74) 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='01 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='987 19F+194Pt 34.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='79(-1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='49) 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='01 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='954 215Fr 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='740 7.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='76 8.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='13 19F+196Pt -32.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='67 (-1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='49) -0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='07 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='958 217Fr 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='737 7.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='47 8.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='42 19F+198Pt 29.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='93(-1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='49) 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='00 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='961 here are with respect to the liquid drop ground state CN mass and experimental mass of projectile and target [62].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Our calculations are restricted to excitation energies at and above 40 MeV where the present macroscopic model is valid.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' We emphasize that the microscopic shell correc- tions are not accounted for in the present calculations, as we are dealing with hot nuclei where shell effects are expected to be negligible at high excitation energies that are populated in heavy-ion reactions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The results of cal- culations using only the statistical model (dashed line) are also shown in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' These calculations are made with the same code with Langevin dynamics turned off.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The statistical model calculations under-predict the mea- sured νpre data as shown in panels (a) to (c), even more so as excitation energy increases.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The dynamical model calculations using universal reduced friction coefficient are in excellent agreement with the measured data of νpre (panels (a) to (c)), fission cross-sections σfiss (pan- els (d) to (f)) and ER cross-sections σER (panels (g) to (i)) for the neutron shell closed nuclei 210Po as well as its isotope 206Po.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The measured data of 210Po formed through two different entrance channels agree well with the theory in a broad range of excitation energies up to 80 MeV.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The model calculations describe the available experimental data for 206,210Po simultaneously at these excitation energies without any microscopic corrections included in the model.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' These observations are at vari- ance with the statistical model analysis of 12C+194Pt and 12C+198Pt reactions that reported a significant shell cor- rection at the saddle deformation to describe the angular anisotropy and νpre data [18, 19].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' A recent 4D Langevin dynamical study [63] that was carried on 206Po and 210Po populated from reaction 12C+198Pt, reported a reason- able description of the measured data for these reactions without invoking any extra shell corrections at the saddle state;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' shown as open triangles in panels (a), (c), (d) and (f) of Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' A better agreement of the measured data is observed for 12C+198Pt reaction in comparison to its 4D Langevin calculations [63], particularly at low excitation energies as shown in panels (a) and (d) of Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The overestimation of νpre and fission cross-section of 210Po in Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [63] was attributed to the remnant of ground state shells and hence, a consequence of not using a pure macroscopic potential energy surface as suggested in Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [64].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Nonetheless, the predictions of multi-dimensional Langevin model for νpre data of 206Po by Karpov et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [30] are also found to be in reasonable agreement with the results of the present analysis.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Moreover, the measured mass distribution of fragments in the fission of 206,210Po [65, 66] reaffirms the absence of any shell corrections on the potential energy surface at the saddle point.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Figs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 2 and 3 display the comparison between ex- perimental data and theoretical calculations of νpre, fis- sion, ER and fusion cross-sections for N=126 shell closed nuclei viz.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 212Rn [21, 23, 24, 67] formed through re- action 18O+194Pt and 213Fr formed through reactions 19F+194Pt [15, 22, 26, 68] and 16O+197Au [5, 6], and their non-shell closed isotopes 214,216Rn populated via.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' reactions 16,18O+198Pt [21, 23, 24, 67] and 215,217Fr pop- ulated via.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' reactions 19F+196,198Pt [15, 22, 26, 68].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The model calculations describe the νpre and fission excita- tion functions for 212Rn and its isotopes 214,216Rn quite successfully.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' In reactions forming 213,215,217Fr nuclei, the same parameter set is able to account for the experi- mental fission excitation functions but not νpre.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' A re- cent work [26] using an extended version of statistical- model employing collective enhancement of level density also reported an under-estimation of νpre data for same reactions when fitted simultaneously with fission cross- section.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' In the present work, the disagreement between experimental νpre and theory is prominent above ≈50 MeV excitation energy and it increases with rise in exci- tation energy.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Considering that νpre of other studied nu- clei are well reproduced by the model, it is unclear why 5 0 1 2 3 4 νpre (a) 12C+198Pt −→ 210Po (b) 18O+192Os −→ 210Po (c) 12C+194Pt −→ 206Po 100 101 102 103 σfiss(mb) (d) (e) (f) 40 60 80 100 100 101 102 103 σER(mb) (g) 40 60 80 100 (h) 40 60 (i) Eex (MeV) FIG.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' (Colour online) Measured and calculated pre-scission neutron multiplicities (νpre), fission cross-sections (σfiss) and evap- oration residue cross-sections (σER) as a function of excitation energy for the reactions 12C+198Pt, 18O+192Os and 12C+194Pt.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The continuous line (red) denote calculated results with a universal frictional form factor and dashed line (black) represent statistical model calculations.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The symbols in the legend represent different experimental data sets, for νpre: (filled squares) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [19], (filled circles) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [5] and (open square) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [59];' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' for σfission and σER: (filled diamonds) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [18], (filled hexagons) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [61] and (open diamonds) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [60].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The open triangles represent results of νpre and σfission from 4D Langevin calculations of Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [63].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' the same frictional form fails, particularly for reactions forming Fr nuclei.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' It is to be noted that, an energy de- pendent dissipation was used in Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [21, 22] to describe the νpre data for these reactions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' We also attempted similar approach by employing a temperature-dependent friction (TDF) in the stochastic calculations [69] (with- out changing any other parameter).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' This frictional form factor is deformation dependent, unlike the ones used in Refs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [21, 22, 70].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The maximum of β(q) in TDF corre- sponds to the ground state, that tends to decrease with increasing deformation with its minimum near the sad- dle configuration and is followed by an increase in the dissipation strength when approaching the scission.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The dissipation coefficient assumes a higher value with in- creasing temperature of the CN.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' It is observed that a better agreement of νpre data is achieved for reactions 19F+194,196,198Pt and 16O+197Au after invoking temper- ature dependence of the dissipation.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The same frictional form, however, is found to over-predict the measured νpre data of other studied nuclei and hence is not shown here.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Deviation in ER excitation functions are also to be noted for 212Rn and 213,215,217Fr nuclei wherein the cal- culated ER cross-sections underpredict the experimental data for these nuclei at high excitation energies.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The case 6 0 2 4 νpre (a) 18O+198Pt −→ 216Rn (b) 16O+198Pt −→ 214Rn (c) 18O+194Pt −→ 212Rn 101 102 103 σfiss(mb) (d) (e) (f) 101 102 103 σER(mb) (g) (h) (i) 40 60 80 101 102 103 σfus(mb) (j) 40 60 80 (k) 40 60 80 (l) Eex (MeV) FIG.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' (Colour online) Measured and calculated pre-scission neutron multiplicities (νpre), fission cross-sections (σfiss), evapora- tion residue cross-sections (σER) and fusion cross-sections (σfus) as a function of excitation energy for the reactions 18O+198Pt, 16O+198Pt, 18O+194Pt.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The continuous (red) and dashed (black) lines have the same meaning as in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The calculations of fusion cross-section are independent of the frictional form and are represented by dotted line (brown).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The symbols in the legend represent different experimental data sets, for νpre: (filled squares) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [21];' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' for σfiss: (filled diamonds) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [67] and (open diamonds) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [23];' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' for σER: (filled circles) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [24] and (filled hexagons) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [23] and for σfus: (filled triangles) Refs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [23, 24].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' of Rn isotopes is of particular interest as the ER cross- section data for 214,216Rn [24] agrees fairly well with the model calculations at all measured energies but differ for 212Rn [23] except at the lowest energy.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' For 213,215,217Fr nuclei, the measured ER cross-sections of Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [15] differ above excitation energy ≈ 55 MeV and the deviation is prominent for 213,215Fr.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' It is quite interesting to note that the ER measurement by a different group [68] for same reactions forming 213,217Fr at Eex ≤ 55 MeV follows the trend of the model predictions quite successfully.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Unfor- tunately, Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [68] has reported only three data points.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Moreover, the ER cross-section data of 215Fr formed in reaction 18O+197Au [71] is reproduced reasonably well with results of 19F+196Pt particularly, above 50 MeV ex- citation energy (displayed as open pentagons in panel (j) of Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 3).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The present dynamical calculations assume 7 0 2 4 6 νpre (a) 19F+198Pt → 217Fr (b) 19F+196Pt → 215Fr (c) 19F+194Pt → 213Fr (d) 16O+197Au → 213Fr 101 102 103 σfiss(mb) (e) (f) (g) (h) 101 102 103 σER(mb) (i) (j) (k) (l) 50 75 100 101 102 103 σfus(mb) (m) 50 75 100 (n) 50 75 100 (o) 50 100 (p) Eex (MeV) FIG.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' (Colour online) Measured and calculated pre-scission neutron multiplicities (νpre), fission cross-sections (σfiss), evapora- tion residue cross-sections (σER) and fusion cross-sections (σfus) as a function of excitation energy for the reactions 19F+198Pt, 19F+196Pt, 19F+194Pt and 16O+197Au.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The continuous (red), dashed (black) and dotted (brown) lines have the same meaning as in Figs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 1 and 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The dash-dotted line (magenta) represent calculated results with temperature-dependent friction.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The symbols in the legend represent different experimental data sets, for νpre: (filled squares) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [22] and (partially filled squares) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [5] ;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' for σfiss: (filled diamonds) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [26],(partially filled diamonds) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [6] and (open diamonds) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [68];' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' for σER: (filled circles) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [15], (partially filled circles) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [6] and (open circles) Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [68] and for σfus: (filled triangles) Refs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [15, 26, 68] and (open triangles) Refs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [6].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The open pentagons denote σER for 215Fr nuclei formed via 18O+197Au Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [71].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' decay from an equilibrated CN and any entrance channel effects are not included.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' It takes account of only the dif- ferent angular momenta that are populated in different entrance channels.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Taking into consideration the insignif- icant difference in angular momenta between two en- trance channels forming 215Fr, the observed deviation in ER cross-section for 19F-induced reaction is quite unex- pected.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' These observations further necessitated the need to confront the deviations in describing ER cross-sections by comparing the measured fusion cross-sections for Rn and Fr nuclei with the model.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' It is revealed that the cal- culated fusion cross-sections are in good agreement with the measured fusion data, augmenting the validity of the present calculations.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Furthermore, the under-prediction of ER cross-sections indicates the need for a strong dis- sipation in the pre-saddle region [72].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' However, 3D 8 Langevin dynamical calculations [31] reported a reduc- tion in the wall friction coefficient to reproduce the mass and kinetic energy distribution of fission fragments, and their influence on νpre for 215Fr nucleus.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The strength of the reduction coefficient, ks = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='25 − 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='5 indicates a weak dissipation in the initial stages of the fissioning nucleus.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The experimental analysis of fission fragment nuclear-charge distributions and fission cross-sections of Fr, Rn isotopes and their neighbouring nuclei also re- ported a pre-saddle dissipation strength of magnitude (4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='5 ± 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='5) × 1021 s−1 [73] and 2 × 1021 s−1 [74], respec- tively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The more recent microscopic study of energy de- pendent dissipation using time-dependent Hartree-Fock + BCS method [75] also observed a strength of deforma- tion dependent friction coefficient, ranging from 1 to 6 × 1021 s−1 in heavy nuclei.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The strength of these fric- tional parameterizations are quite in agreement with the dissipation form factor employed in the present calcula- tions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' These observations affirm a weak dissipation in the pre-saddle region;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' so, the observed enhancement of ER cross-sections in Fr nuclei populated via.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 19F-induced reactions is not well-understood from the perspective of dissipation strength alone.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' In fact, a satisfactory de- scription of the excitation functions including ER cross- sections for reactions 12C+194Pt, 12C+198Pt, 18O+192Os and 16,18O+198Pt and survival probabilities for a range of fissilities [36] is observed within the framework of this 1D Langevin dynamics with a universal friction param- eter.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' However, it is also important to bear in mind the possible bias coming from experimental uncertainty.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' It is striking that the observed deviations are pronounced in ER cross-section data where measurements are reported to have large uncertainty in ER separator transmission efficiency [15, 23].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' It would be highly desirable to have additional ER measurements to rule out any possible ex- perimental bias in the interpretation of ER data.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' It must be noted that, the entrance channel dynam- ics of the fusion stage might also play a role influenc- ing neutron emission at the formation stage [14].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' It is known that interplay of CN excitation energy, angular momentum and fission barrier play crucial role in fission process [28].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Present study do not take into account any entrance channel dynamics influencing the fusion stage.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The model only considers the entrance channel depen- dent ’l’ distribution calculated within the surface friction model [58].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' In Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 4 we show the calculated fission bar- rier height Bf(l) for three compound systems and mean angular momentum < l > calculated from ’l’ distribu- tion for different entrance channels forming same CN.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The variation of Bf is plotted as a function of ’l’ in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 4(a) and variation of < l > of the compound systems is plotted as a function of Eex in Fig 4(b).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' From Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 4, it is clear that, the difference in angular momenta be- tween two entrance channels forming same CN at similar Eex is not very significant to cause any ’l’ induced ef- fects on measured fission observable.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' This is evident in the νpre data for 210Po formed in reactions 12C+198Pt and 18O+192Os which are well described in the present work (see Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 1) without invoking any entrance channel effects in the model.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Recent studies investigating en- trance channel dynamics [27, 28] reported disagreement between experimental νpre and predictions of entrance channel model for 213Fr nuclei formed via.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 16O+197Au and 19F+194Pt reactions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' These studies were, however, not extended to other isotopes of Fr, namely 215,217Fr that also show similar discrepancy as reported in the present study.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The current 1D Langevin analysis provides a simul- taneous description of the experimental data for neutron magic nuclei 210Po without invoking any saddle shell cor- rections or a nuclear dissipation strength dependent on system/observable under study.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' In order to understand qualitatively that consideration of saddle shell correc- tions are not required to explain νpre data, we consider the nature of neutron emission during the fission process.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' It is to be noted that these neutrons are emitted from dy- namical trajectories that originated from compact config- uration till scission point is reached.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The prompt and beta-delayed neutron emissions from fission fragments are not taken into consideration.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' As recent publica- tions have advocated for the inclusion of shell correc- tions on the saddle configuration to describe the angular anisotropy and νpre data at moderate excitation energies [12, 18, 19], we have attempted to find the distribution of pre-scission neutrons as it evolves from ground state to scission point.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The model calculated potential energy V(q) and distribution of percentage yield of pre-scission neutrons are plotted as a function of the deformation co- ordinate (q) for these nuclei at 50 MeV excitation energy and shown in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' It is evident that more than 90% of the neutron emission occurs at an early stage of fission before the saddle deformation (q ≈ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='8) [38] is reached.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The mean of the distribution corresponds to νpre emis- sion close to the ground state configuration.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' In-fact, a multi-dimensional Langevin study of 215Fr by Nadtochy et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [31] have also pointed out that an appreciable part of pre-scission neutrons are emitted at an early stage of fission before saddle is reached.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' As most of the neutrons are emitted close to the ground state configuration, it is unlikely to be influenced by any shell corrections applied at the saddle.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Though the present code uses classical 1D approach to describe fission observables, the main objective of this work is to have a simultaneous description of experi- mental data without any parameter adjustment thus, removing some of the reported ambiguities.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' A com- parison between νpre calculated with 1D model and re- cent macroscopic multi-dimensional models is displayed in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 6.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' It can be seen that the νpre values predicted by different models are very similar and also reproduce the measurements quite well for reactions spanning a wide range of fissility parameter Z2/A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Additionally, the multi-dimensional calculations [34, 50, 76] also use the formalisms adopted from Refs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [36, 69] such as the parameterization of surface friction model and weakest coordinate dependence of the level-density parameter as 9 0 20 40 60 80 ℓ (¯h) 0 2 4 6 8 10 12 14 Bf (MeV) (a) 210Po 212Rn 213Fr 30 40 50 60 70 80 90 10 15 20 25 30 35 40 45 < ℓ > (¯h) (b) 12C+198Pt 18O+192Os 19F+194Pt 16O+197Au Eex (MeV) FIG.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' (Colour online) (a) The angular momentum ’l’ de- pendent fission barrier height Bf(l) for three CN 210Po,212Rn and 213Fr and (b) Variation of mean angular momentum < l > with compound nucleus excitation energy for 210Po,and 213Fr populated by different entrance channels.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' employed in the present work.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Hence, the qualitative nature of the observed features presented here is not ex- pected to be different with multi-dimensional approach.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' As the present framework is found to provide realistic values close to measured data, we believe that the 1D approach still can be a potential tool to study a wider systematics which can be accomplished within minimum 0 10 20 30 40 V (MeV) 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='6 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='8 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='0 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='2 0 1 2 3 4 5 6 7 8 d<νpre>/dq (%) qneck qsadd 210Po 212Rn 213Fr deformation coordinate (q) FIG.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' (Colour online) Potential energy distribution as a function of nuclear deformation coordinate (q) for three fis- sioning nuclei 210Po, 212Rn and 213Fr (top panel) and distri- bution of percentage yield of evaporated pre-scission neutrons as a function of (q) for three CN at 50 MeV excitation energy (bottom panel).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The deformation coordinate (q) assumes a value of 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='6 (qneck) when the neck of the fissioning nucleus starts to develop and q=0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='8 (qsadd) at the saddle state con- figuration.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' computational resources.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' It must be remarked here that, even though present analysis provides a reasonable reproduction of the exper- imental data without invoking any shell corrections at high excitation energies, it shall not be concluded from this work that shell effects are not relevant in the analy- sis.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' As present investigation consider only the first chance fission at Eex ∼ 40 MeV and above where shell effects are expected to be washed out, no indication for the need of including shell corrections was found.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' However, for the case when the CN is populated at low excitation energies or reaches low excitation energy due to neutron emission as a consequence of competition between neutron evapo- ration and fission (multi-chance fission), the microscopic effects are required to be taken into consideration.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Re- cent microscopic study of dissipation within Hartree-Fock + BCS framework [75] have shown a strong dependence of dissipation on deformation and initial excitation ener- gies of the hot nuclei.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Possible influence of microscopic temperature dependence of fission barrier height and its curvature were also emphasized in some recent studies of fully microscopic description of fission process [77, 78].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 10 30 35 40 Z2/A 0 1 2 3 4 5 6 νpre 162Yb 206Po 210Po 215Fr 244Cm 264Rf 216Ra 248Cf Expt.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' data Present Multi-dimensional model FIG.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 6.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' (Colour online) Comparison of measured pre- scission neutron multiplicities (νpre) with the results of the 1D model (present work) and multi-dimensional models.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The filled triangles (blue) denote experimental data [6, 14, 59, 80– 83], the present dynamical model calculations are represented by filled circles (orange) and the filled squares (green) de- note the results of multi-dimensional dynamical calculations [28, 30, 34, 84].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' A microscopic framework based on the finite-temperature Skyrme-HartreeFock+BCS approach [79] was adopted to demonstrate the essential role of energy dependent fission barriers by studying the experimental fission probability of 210Po.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' It would be quite interesting to extend the in- vestigation of Fr nuclei within such a microscopic frame- work.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' IV.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' SUMMARY AND CONCLUSION In the present work we report a systematic study on the fission dynamics of N=126 shell closed nuclei in mass region 200 with a simultaneous description of three fis- sion observables.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The present work highlights the limited reliability of the conclusions drawn from the recent statis- tical model analysis of shell closed nuclei, namely 210Po, 212Rn and 213Fr at excitation energies 40 MeV and above, that advocated for extra shell effects at saddle configu- ration even after their inclusion in the level density for- mulation.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Earlier analyses of νpre and ER cross-sections were based on different assumptions and case dependent parameter adjustments, without reaching a definite con- clusion.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' On the basis of present analysis we conclude that, without many of those assumptions and parameter adjustments, a well established combined dynamical and statistical model can simultaneously reproduce the avail- able data of νpre, fission and evaporation residue excita- tion functions (also fusion cross-sections in certain cases) for neutron shell closed nuclei, viz.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 210Po, 212Rn and their non-shell closed isotopes 206Po and 214,216Rn with- out the need of including any extra shell effects.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' There appears to be no discernible influence of N=126 neutron shell structure on these measured fission observables in the medium excitation energy range.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The present work also points to a relatively smaller role of entrance channel effects in the studied systems.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' However, we find a significant mismatch between mea- sured νpre data and its model predictions for Fr nuclei formed in reactions 19F+194,196,198Pt and 16O+197Au, despite a reasonable description of fission and fusion cross-sections.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The νpre data in Fr nuclei could only be reproduced after invoking a temperature dependent frictional form.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' The difficulty in completely reproduc- ing some specific measurements of Fr nuclei still remains not well-understood and additional measurements are de- sired.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Although the present work is limited to the study of three fission observables, it would also be interesting to extend the systematic study using recent microscopic theory within Hartree-Fock + BCS framework.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' ACKNOWLEDGMENTS We are thankful to K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Golda and N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Saneesh for fruitful discussions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' One of the authors (D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=') acknowl- edges the financial support in the form of research fel- lowship received from the University Grants Commission (UGC).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' REFERENCES [1] 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metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Gehlot, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Mohanto, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Jhin- gan, I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Mukul, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Varughese, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Sadhukhan, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} 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'/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' doi:10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1103/PhysRevC.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='89.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='024609.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [16] S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' McCalla, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Lestone, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 101 (2008) 032702.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' doi:10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1103/PhysRevLett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='101.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='032702.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [17] J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Lestone, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' McCalla, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' C 79 (2009) 044611.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' doi:10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1103/PhysRevC.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='79.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='044611.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [18] A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Shrivastava, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Kailas, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Chatterjee, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Samant, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Navin, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Singh, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Tomar, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 82 (1999) 699.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' doi:10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1103/PhysRevLett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='82.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='699.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [19] K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Golda, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Saxena, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Mittal, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Mahata, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Sugathan, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Jhingan, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Singh, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Sandal, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Goyal, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Gehlot, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Dhal, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Behera, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Bhowmik, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Kailas, Nucl.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' A 913 (2013) 157.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' doi:10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1016/ j.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='nuclphysa.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='2013.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='05.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='016.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [20] K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Mahata, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Kailas, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Kapoor, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' C 92 (2015) 034602.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' doi:10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1103/PhysRevC.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='92.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='034602.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [21] R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Sandal, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Behera, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Singh, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Kaur, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Kumar, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Singh, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Singh, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Sugathan, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Jhingan, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Golda, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Chatterjee, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Bhowmik, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Kalkal, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Siwal, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Goyal, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Mandal, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Prasad, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Mahata, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Saxena, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Sadhukhan, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Pal, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' C 87 (2013) 014604.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' doi:10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1103/PhysRevC.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='87.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='014604.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [22] V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Singh, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Behera, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Kaur, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Sugathan, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Golda, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Jhingan, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Sadhukhan, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Siwal, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Goyal, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Santra, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Kumar, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Bhowmik, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Chatterjee, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Saxena, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Pal, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Kailas, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} 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'/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Jhingan, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Varier, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Thomas, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Vinodkumar, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Shamlath, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Varughese, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Sugathan, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Babu, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Ap- pannababu, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Golda, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Behera, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Singh, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' San- dal, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Saxena, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' John, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Kailas, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' G: Nucl.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Part.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 42 (2015) 095105.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' doi:10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1088/0954-3899/ 42/9/095105.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [24] R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Sandal, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} 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metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Verma, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Prasad, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Varier, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Vinodkumar, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Saxena, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Sadhukhan, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Pal, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' C 91 (2015) 044621.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' doi:10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1103/PhysRevC.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='91.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='044621.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [25] P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' M¨oller, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Sierk, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Ichikawa, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Iwamoto, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Bengtsson, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Uhrenholt, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' ˚Aberg, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' C 79 (2009) 064304.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' doi:10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1103/PhysRevC.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='79.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='064304.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [26] V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Singh, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Behera, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Kaur, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Jhingan, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Kaur, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Sugathan, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Siwal, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Goyal, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Singh, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Pal, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Saxena, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Kailas, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' G: Nucl.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Part.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 48 (2021) 075104.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' doi:10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1088/1361-6471/abe8cd.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [27] M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Shareef, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} 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metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' doi:10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1103/PhysRevC.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='97.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='014616.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [29] T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Banerjee, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Nath, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Pal, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' B 776 (2018) 163.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' doi:10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1016/j.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='physletb.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} 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metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Mariotti, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Khanbekyan, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Veronesi, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' C 71 (2005) 014609.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' doi:10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} 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T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Enqvist, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Junghans, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Keli´c, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Rejmund, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' 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Review C 45 (1992) 1229.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' doi:10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1103/physrevc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='45.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1229.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [81] H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Singh, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} 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'/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Jhingan, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Singh, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Sugathan, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Chatterjee, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' K.' metadata={'source': 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+page_content='1103/physrevc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='78.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='024609.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [82] M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Itkis, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} 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metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Bemis, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Schmitt, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' C 8 (1973) 1104.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' doi:doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1103/physrevc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='8.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1104.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' [84] H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Eslamizadeh, Eur.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' A 47 (2011) 134.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content=' doi: 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'} +page_content='1140/epja/i2011-11134-0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/DtFRT4oBgHgl3EQfATdu/content/2301.13461v1.pdf'}