Langevin model of lowenergy fission
Abstract
Since the earliest days of fission, stochastic models have been used to describe and model the process. For a quarter century, numerical solutions of Langevin equations have been used to model fission of highly excited nuclei, where microscopic potentialenergy effects have been neglected. In this paper I present a Langevin model for the fission of nuclei with low to medium excitation energies, for which microscopic effects in the potential energy cannot be ignored. I solve Langevin equations in a fivedimensional space of nuclear deformations. The macroscopicmicroscopic potential energy from a global nuclear structure model well benchmarked to nuclear masses is tabulated on a mesh of approximately 10 ^{7} points in this deformation space. The potential is defined continuously inside the mesh boundaries by use of a moving fivedimensional cubic spline approximation. Because of reflection symmetry, the effective mesh is nearly twice this size. For the inertia, I use a (possibly scaled) approximation to the inertia tensor defined by irrotational flow. A phenomenological dissipation tensor related to onebody dissipation is used. A normalmode analysis of the dynamical system at the saddle point and the assumption of quasiequilibrium provide distributions of initial conditions appropriate to low excitation energies, and are extended tomore »
 Authors:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Publication Date:
 Research Org.:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
 OSTI Identifier:
 1394975
 Report Number(s):
 LAUR1723344
Journal ID: ISSN 24699985
 Grant/Contract Number:
 AC5206NA25396
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Physical Review C
 Additional Journal Information:
 Journal Volume: 96; Journal Issue: 3; Journal ID: ISSN 24699985
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic and Nuclear Physics; Fission; dynamical model; nuclear dissipation; predicted mass yields; total fragment kinetic energies; 235U; 239Pu; 240 Pu; 233U; 252Cf
Citation Formats
Sierk, Arnold John. Langevin model of lowenergy fission. United States: N. p., 2017.
Web. doi:10.1103/PhysRevC.96.034603.
Sierk, Arnold John. Langevin model of lowenergy fission. United States. doi:10.1103/PhysRevC.96.034603.
Sierk, Arnold John. 2017.
"Langevin model of lowenergy fission". United States.
doi:10.1103/PhysRevC.96.034603.
@article{osti_1394975,
title = {Langevin model of lowenergy fission},
author = {Sierk, Arnold John},
abstractNote = {Since the earliest days of fission, stochastic models have been used to describe and model the process. For a quarter century, numerical solutions of Langevin equations have been used to model fission of highly excited nuclei, where microscopic potentialenergy effects have been neglected. In this paper I present a Langevin model for the fission of nuclei with low to medium excitation energies, for which microscopic effects in the potential energy cannot be ignored. I solve Langevin equations in a fivedimensional space of nuclear deformations. The macroscopicmicroscopic potential energy from a global nuclear structure model well benchmarked to nuclear masses is tabulated on a mesh of approximately 107 points in this deformation space. The potential is defined continuously inside the mesh boundaries by use of a moving fivedimensional cubic spline approximation. Because of reflection symmetry, the effective mesh is nearly twice this size. For the inertia, I use a (possibly scaled) approximation to the inertia tensor defined by irrotational flow. A phenomenological dissipation tensor related to onebody dissipation is used. A normalmode analysis of the dynamical system at the saddle point and the assumption of quasiequilibrium provide distributions of initial conditions appropriate to low excitation energies, and are extended to model spontaneous fission. A dynamical model of postscission fragment motion including dynamical deformations and separation allows the calculation of final mass and kineticenergy distributions, along with other interesting quantities. The model makes quantitative predictions for fragment mass and kineticenergy yields, some of which are very close to measured ones. Varying the energy of the incident neutron for induced fission allows the prediction of energy dependencies of fragment yields and average kinetic energies. With a simple approximation for spontaneous fission starting conditions, quantitative predictions are made for some observables which are close to measurements. In conclusion, this model is able to reproduce several mass and energy yield observables with a small number of physical parameters, some of which do not need to be varied after benchmarking to 235U (n, f) to predict results for other fissioning isotopes.},
doi = {10.1103/PhysRevC.96.034603},
journal = {Physical Review C},
number = 3,
volume = 96,
place = {United States},
year = 2017,
month = 9
}

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