A microscopic calculation of fission cross sections with the non-equilibrium Green function method

Abstract

We apply the non-equilibrium Green function (NEGF) method to microscopically evaluate fission cross sections for the neutron induced ${}^{235}$U$(n,f)$ reaction. While the model space was restricted only to seniority zero configurations in the previous applications of the NEGF method, we remove this restriction and include seniority non-zero configurations as well. In such model space, a proton-neutron interaction is active, for which we introduce a random interaction. We find that the seniority non-zero configurations significantly increase the fission cross sections, and thus the fission-to-capture branching ratios, even though they are still underestimated by about one order of magnitude as compared to the experimental data. In addition, we also find that the fission dynamics is governed by only a small number of eigenstates of the model Hamiltonian.

arXiv comment12 pages, 12 figures

References in corpus (22)

• Density functional method for nonequilibrium electron transport
• First-Principles Based Matrix-Green's Function Approach to Molecular Electronic Devices: General Formalism
• Origin of the Heaviest Elements: the Rapid Neutron-Capture Process
• The impact of individual nuclear properties on $r$-process nucleosynthesis
• Nuclear energy density optimization: Large deformations
• Microscopic Theory of Nuclear Fission: A Review
• Time-dependent density-functional description of nuclear dynamics
• Induced Fission of ${}^{240}$Pu within a Real-Time Microscopic Framework
• Current Status of r-Process Nucleosynthesis
• Future of Nuclear Fission Theory
• Theory of Nuclear Fission
• Fission process of low excited nuclei with Langevin approach
• A 4-dimensional Langevin approach to low-energy nuclear fission of ${}^{236}$U
• Correlated transitions in TKE and mass distributions of fission fragments described by 4-D Langevin equation
• Decay widths at the scission point in nuclear fission
• Generator coordinate method for transition-state dynamics in nuclear fission
• Applications of the dynamical generator coordinate method to quadrupole excitations
• Exit-Channel Suppression in Statistical Reaction Theory
• Diabatic Hamiltonian matrix elements made simple
• Schematic model for induced fission in a configuration-interaction approach
• Non-equilibrium Green's function approach to low-energy fission dynamics: fluctuations in fission reactions
• Application of the shift-invert Lanczos algorithm to a non-equilibrium Green function for transport problems