A Method to Calculate Fission-Fragment Yields $Y(Z,N)$ versus Proton and Neutron Number in the Brownian Shape-Motion Model. Application to calculations of U and Pu charge yields

Abstract

We propose a method to calculate the two-dimensional (2D) fission-fragment yield $Y(Z,N)$ versus both proton and neutron number, with inclusion of odd-even staggering effects in both variables. The approach is to use Brownian shape-motion on a macroscopic-microscopic potential-energy surface which, for a particular compound system is calculated versus four shape variables: elongation (quadrupole moment $Q_2$), neck $d$, left nascent fragment spheroidal deformation ${\epsilon }_{f1}$, right nascent fragment deformation ${\epsilon }_{f2}$ and two asymmetry variables, namely proton and neutron numbers in each of the two fragments. The extension of previous models 1) introduces a method to calculate this generalized potential-energy function and 2) allows the correlated transfer of nucleon pairs in one step, in addition to sequential transfer. In the previous version the potential energy was calculated as a function of $Z$ and $N$ of the compound system and its shape, including the asymmetry of the shape. We outline here how to generalize the model from the "compound-system" model to a model where the emerging fragment proton and neutron numbers also enter, over and above the compound system composition.

References in corpus (1)

• Brownian shape motion on five-dimensional potential-energy surfaces: Nuclear fission-fragment mass distributions

Cited by in corpus (17)

• Review on the progress in nuclear fission
• Future of Nuclear Fission Theory
• Fission fragment charge and mass distributions in 239Pu(n,f) in the adiabatic nuclear energy density functional theory
• Theory of Nuclear Fission
• Fission Fragment Decay Simulations with the CGMF Code
• Primary fission fragment mass yields across the chart of nuclides
• Nucleosynthesis and observation of the heaviest elements
• Extension of the Hauser-Feshbach Fission Fragment Decay Model to Multi-Chance Fission
• Quantifying Uncertainties on Fission Fragment Mass Yields With Mixture Density Networks
• Number of Particles in Fission Fragments
• Correlation studies of fission fragment neutron multiplicities
• Efficient method for estimation of fission fragment yields of r-process nuclei
• Hauser-Feshbach fission fragment de-excitation with calculated macroscopic-microscopic mass yields
• Theoretical description of fission yields: towards a fast and efficient global model
• Improvements to the macroscopic-microscopic approach of nuclear fission
• Fourier-over-Spheroid shape parametrization applied to nuclear fission dynamics
• Correlations Between Fission Fragment and Neutron Anisotropies in Neutron-Induced Fission