Spontaneous fission half-life in Fm isotopes with nuclear energy density functional
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909223940521984 |
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| author | Washiyama, Kouhei |
| author_facet | Washiyama, Kouhei |
| contents | A microscopic description of fission dynamics is important to understand the decay properties of neutron-rich heavy nuclei that are relevant to $r$-process nucleosynthesis. To provide a reliable and efficient method to evaluate the spontaneous fission half-life, we develop a method, called the constrained Hartree--Fock--Bogoliubov (CHFB) plus local quasiparticle random-phase approximation (LQRPA), to include dynamical residual effects in the collective inertia. With the CHFB + LQRPA, we evaluate the collective potential and the collective inertia along a mass-symmetric fission path in Fm isotopes with the neutron numbers $N=158$--164. The obtained LQRPA inertia is much larger than the cranking one that ignores dynamical residual effects and shows a remarkable variation along the fission path. We estimate the fission half-life of the Fm isotopes using the action integral with the obtained collective potential and inertia. A large difference between the fission half-lives obtained with the LQRPA inertia and with the cranking inertia is observed. This indicates the importance of evaluating the collective inertia for estimating the fission half-life. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09735 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spontaneous fission half-life in Fm isotopes with nuclear energy density functional Washiyama, Kouhei Nuclear Theory A microscopic description of fission dynamics is important to understand the decay properties of neutron-rich heavy nuclei that are relevant to $r$-process nucleosynthesis. To provide a reliable and efficient method to evaluate the spontaneous fission half-life, we develop a method, called the constrained Hartree--Fock--Bogoliubov (CHFB) plus local quasiparticle random-phase approximation (LQRPA), to include dynamical residual effects in the collective inertia. With the CHFB + LQRPA, we evaluate the collective potential and the collective inertia along a mass-symmetric fission path in Fm isotopes with the neutron numbers $N=158$--164. The obtained LQRPA inertia is much larger than the cranking one that ignores dynamical residual effects and shows a remarkable variation along the fission path. We estimate the fission half-life of the Fm isotopes using the action integral with the obtained collective potential and inertia. A large difference between the fission half-lives obtained with the LQRPA inertia and with the cranking inertia is observed. This indicates the importance of evaluating the collective inertia for estimating the fission half-life. |
| title | Spontaneous fission half-life in Fm isotopes with nuclear energy density functional |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2406.09735 |