Microscopic Calculation of Fission Product Yields for Odd-Mass Nuclei

Abstract

Fission data are essential inputs to reaction networks involved in nucleosynthesis simulations and nuclear forensics. In such applications as well as in the description of multi-chance fission, the characteristics of fission for odd-mass nuclei are just as important as those for even-even nuclei. The fission theories that aim at explicitly describing fission dynamics are typically based on some variant of the nuclear mean-field theory. In such cases, the treatment of systems with an odd number of particles is markedly more involved, both formally and computationally. In this article, we use the blocking prescription of the Hartree-Fock-Bogoliubov theory with Skyrme energy functionals to compute the deformation properties of odd-mass uranium isotopes. We show that the resulting fission fragment distributions depend quite significantly on the spin of the odd neutron. By direct calculation of the spin distribution of the fissioning nucleus, we propose a methodology to rigorously predict the charge and mass distributions in odd-mass nuclei.

arXiv comment17 pages, 11 figures, 2 tables

References in corpus (46)

• The impact of individual nuclear properties on $r$-process nucleosynthesis
• Microscopic Theory of Nuclear Fission: A Review
• Microscopic approach of fission dynamics applied to fragment kinetic energy and mass distributions in 238U
• Induced Fission of ${}^{240}$Pu within a Real-Time Microscopic Framework
• Axially deformed solution of the Skyrme-Hartree-Fock-Bogolyubov equations using the transformed harmonic oscillator basis (II) HFBTHO v2.00d: a new version of the program
• Microscopic justification of the Equal Filling approximation
• Potential Energy Surfaces of Actinide Nuclei from a Multi-dimensional Constraint Covariant Density Functional Theory: Barrier Heights and Saddle Point Shapes
• Future of Nuclear Fission Theory
• One-quasiparticle States in the Nuclear Energy Density Functional Theory
• Fission barriers in covariant density functional theory: extrapolation to superheavy nuclei
• Systematics of Fission Barriers in Superheavy Elements
• Fission fragment charge and mass distributions in 239Pu(n,f) in the adiabatic nuclear energy density functional theory
• Fission barriers in actinides in covariant density functional theory: the role of triaxiality
• Pairing correlations. Part 1: description of odd nuclei in mean-field theories
• Structure properties of ${}^{226}$Th and ${}^{256,258,260}$Fm fission fragments: mean field analysis with the Gogny force
• Description of Induced Nuclear Fission with Skyrme Energy Functionals: I. Static Potential Energy Surfaces and Fission Fragment Properties
• Theory of Nuclear Fission
• Fission Dynamics of 240Pu from Saddle-to-Scission and Beyond
• Microscopic calculation of 240Pu scission with a finite-range effective force
• Fission Fragment Decay Simulations with the CGMF Code
• Numerical search of discontinuities in self-consistent potential energy surfaces
• Microscopic study of induced fission dynamics of ${}^{226}$Th with covariant energy density functionals
• Nuclear Scission and Quantum Localization
• Adiabatic fission barriers in superheavy nuclei
• Microscopic self-consistent description of induced fission dynamics: finite temperature effects
• Multidimensionally-constrained relativistic mean-field study of triple-humped barriers in actinides
• Fission fragments intrinsic spins and their correlations
• The time-dependent generator coordinate method in nuclear physics
• Angular Momentum of Fission Fragments from Microscopic Theory
• Collective aspects deduced from time-dependent microscopic mean-field with pairing: application to the fission process
• Time-dependent generator coordinate method study of mass-asymmetric fission of actinides
• Extension of the Hauser-Feshbach Fission Fragment Decay Model to Multi-Chance Fission
• Axially-deformed solution of the Skyrme-Hartree-Fock-Bogoliubov equations using the transformed harmonic oscillator basis (IV) hfbtho (v4.0): A new version of the program
• FELIX-2.0: New version of the finite element solver for the time dependent generator coordinate method with the Gaussian overlap approximation
• Nucleon scattering on actinides using a dispersive optical model with extended couplings
• Microscopic Calculation of Fission Product Yields with Particle Number Projection
• Thermal fission rates with temperature dependent fission barriers
• FELIX-1.0: A finite element solver for the time dependent generator coordinate method with the Gaussian overlap approximation
• Time-dependent generator coordinate method study of fission: dissipation effects
• Microscopic description of fission in odd-mass uranium and plutonium nuclei with the Gogny energy density functional
• Finite-amplitude method for collective inertia in spontaneous fission
• Description of the multidimensional potential energy surface in fission of ${}^{252}$Cf and ${}^{258}$No
• Scission configuration in the self-consistent calculations with neck constraint
• Smoothing of one- and two-dimensional discontinuities in potential energy surfaces
• Fission barriers of two odd-neutron actinide nuclei taking into account the time-reversal symmetry breaking at the mean-field level
• Influence of non-statistical properties in nuclear structure on emission of prompt fission neutrons

Cited by in corpus (6)

• Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D mesh. IIb. Fission properties of BSkG2
• Shell structure and shape transition in odd-$Z$ superheavy nuclei with proton numbers $Z=117,119$: insights from deformed relativistic Hartree-Bogoliubov in continuum
• Postfission properties of uranium isotopes: A hybrid method with Langevin dynamics and the Hauser-Feshbach statistical model
• Time-Dependent Density Functional Theory Description of ${}^{238}$U(n,f), ${}^{240,242}$Pu(n,f) and ${}^{237}$Np(n,f) Reactions
• Microscopic theory of angular momentum distributions across the full range of fission fragments
• Non-Equilibrium Aspects of Fission Dynamics within the Time Dependent Density Functional Theory