Non-equilibrium Green's function approach to low-energy fission dynamics: fluctuations in fission reactions
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arXiv
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| Format: | Preprint |
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2024
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| author | Uzawa, K. Hagino, K. |
| author_facet | Uzawa, K. Hagino, K. |
| contents | We present a microscopic modeling for a decay of a heavy compound nucleus, starting from a nucleonic degree of freedom. To this end, we develop an approach based on a non-equilibrium Green's function, which is combined with a configuration interaction (CI) approach based on a constrained density-functional theory (DFT). We apply this approach to a barrier-top fission of $^{236}$U, restricting the model space to seniority zero configurations of neutrons and protons. We particularly focus on the distribution of the fission probability. We find that it approximately follows the chi-squared distribution with the number of degrees of freedom $ν$ of the order of 1, which is consistent with the experimental finding. We also show that $ν$ corresponds to the number of eigenstates of the many-body Hamiltonian whose energy is close to the excitation energy of the system and at the same time which have significant components on both sides of a fission barrier. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04255 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-equilibrium Green's function approach to low-energy fission dynamics: fluctuations in fission reactions Uzawa, K. Hagino, K. Nuclear Theory Mesoscale and Nanoscale Physics Statistical Mechanics Nuclear Experiment Chemical Physics We present a microscopic modeling for a decay of a heavy compound nucleus, starting from a nucleonic degree of freedom. To this end, we develop an approach based on a non-equilibrium Green's function, which is combined with a configuration interaction (CI) approach based on a constrained density-functional theory (DFT). We apply this approach to a barrier-top fission of $^{236}$U, restricting the model space to seniority zero configurations of neutrons and protons. We particularly focus on the distribution of the fission probability. We find that it approximately follows the chi-squared distribution with the number of degrees of freedom $ν$ of the order of 1, which is consistent with the experimental finding. We also show that $ν$ corresponds to the number of eigenstates of the many-body Hamiltonian whose energy is close to the excitation energy of the system and at the same time which have significant components on both sides of a fission barrier. |
| title | Non-equilibrium Green's function approach to low-energy fission dynamics: fluctuations in fission reactions |
| topic | Nuclear Theory Mesoscale and Nanoscale Physics Statistical Mechanics Nuclear Experiment Chemical Physics |
| url | https://arxiv.org/abs/2403.04255 |