Effects of pairing strength on the nuclear structure and double-$β$ decay predictions within the mapped interacting boson model
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910565753946112 |
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| author | Nomura, Kosuke |
| author_facet | Nomura, Kosuke |
| contents | The low-energy nuclear structure and two-neutrino double-$β$ ($2νββ$) decay are studied within the interacting boson model (IBM) that is based on the nuclear energy density functional (EDF). The IBM Hamiltonian describing the initial and final even-even nuclei, and the interacting boson fermion-fermion Hamiltonian producing the intermediate states of the neighboring odd-odd nuclei are determined by the microscopic inputs provided by the self-consistent mean-field (SCMF) calculations employing a relativistic EDF and a separable pairing force. Sensitivities of the low-lying structure and $2νββ$-decay properties to the pairing strength are specifically analyzed. It is shown that the SCMF calculations with decreased and increased pairing strengths lead to quadrupole-quadrupole interaction strengths in the IBM that are, respectively, significantly enhanced and reduced in magnitude. When the increased pairing is adopted, in particular, the energy levels of the excited $0^+$ states are lowered, and the predicted $2νββ$-decay nuclear matrix elements (NMEs) increase in magnitude systematically. The mapped IBM employing the increased pairing force generates effective NMEs and half-lives that are in a reasonable agreement with the experimental data for the $^{76}$Ge$\to^{76}$Se, $^{82}$Se$\to^{82}$Kr, and $^{100}$Mo$\to^{100}$Ru decays in particular, whereas the calculation with the standard pairing strength is adequate to provide an overall good description of the effective NMEs in agreement with data. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_02986 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effects of pairing strength on the nuclear structure and double-$β$ decay predictions within the mapped interacting boson model Nomura, Kosuke Nuclear Theory Nuclear Experiment The low-energy nuclear structure and two-neutrino double-$β$ ($2νββ$) decay are studied within the interacting boson model (IBM) that is based on the nuclear energy density functional (EDF). The IBM Hamiltonian describing the initial and final even-even nuclei, and the interacting boson fermion-fermion Hamiltonian producing the intermediate states of the neighboring odd-odd nuclei are determined by the microscopic inputs provided by the self-consistent mean-field (SCMF) calculations employing a relativistic EDF and a separable pairing force. Sensitivities of the low-lying structure and $2νββ$-decay properties to the pairing strength are specifically analyzed. It is shown that the SCMF calculations with decreased and increased pairing strengths lead to quadrupole-quadrupole interaction strengths in the IBM that are, respectively, significantly enhanced and reduced in magnitude. When the increased pairing is adopted, in particular, the energy levels of the excited $0^+$ states are lowered, and the predicted $2νββ$-decay nuclear matrix elements (NMEs) increase in magnitude systematically. The mapped IBM employing the increased pairing force generates effective NMEs and half-lives that are in a reasonable agreement with the experimental data for the $^{76}$Ge$\to^{76}$Se, $^{82}$Se$\to^{82}$Kr, and $^{100}$Mo$\to^{100}$Ru decays in particular, whereas the calculation with the standard pairing strength is adequate to provide an overall good description of the effective NMEs in agreement with data. |
| title | Effects of pairing strength on the nuclear structure and double-$β$ decay predictions within the mapped interacting boson model |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2406.02986 |