Sensitivity analysis of $β$-decay half-life predictions for Ge, As, Zr and Mo nuclei within the mapped interacting boson model
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910908711698432 |
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| author | Homma, M. Nomura, K. |
| author_facet | Homma, M. Nomura, K. |
| contents | We analyze parameter sensitivities of the mapped interacting boson model (IBM) and boson-fermion-fermion model (IBFFM) in the description of $β$-decay properties of the even-mass neutron-deficient Ge and As, and neutron-rich Zr and Mo isotopes. Based on the self-consistent mean-field calculations with a given energy density functional and a pairing interaction, the IBM Hamiltonian for even-even nuclei, single-particle energies, and occupation probabilities for unpaired nucleons, which are necessary building blocks of the IBFFM Hamiltonian and Gamow-Teller and Fermi transition operators, are completely determined. A few coupling constants of the boson-fermion and residual neutron-proton interactions are only phenomenological parameters fitted to reproduce low-energy spectra of odd-mass and odd-odd nuclei. It is found that the calculated $\log{}_{10}ft$ values for the $β^+$ decays $^{68}$As$\to^{68}$Ge are particularly sensitive to the quadrupole-quadrupole boson interaction strength used for the parent ($^{68}$As) nucleus. We further incorporate higher-order terms in the one-nucleon transfer operators in the boson system, and find that, while their effects are non-negligible, they do not significantly alter qualitative features of $β$-decay properties. We report a novel application of the mapped IBM framework to compute $β$-decay half-lives, and show that the observed trend along isotopic chains are reasonably reproduced. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19480 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sensitivity analysis of $β$-decay half-life predictions for Ge, As, Zr and Mo nuclei within the mapped interacting boson model Homma, M. Nomura, K. Nuclear Theory Nuclear Experiment We analyze parameter sensitivities of the mapped interacting boson model (IBM) and boson-fermion-fermion model (IBFFM) in the description of $β$-decay properties of the even-mass neutron-deficient Ge and As, and neutron-rich Zr and Mo isotopes. Based on the self-consistent mean-field calculations with a given energy density functional and a pairing interaction, the IBM Hamiltonian for even-even nuclei, single-particle energies, and occupation probabilities for unpaired nucleons, which are necessary building blocks of the IBFFM Hamiltonian and Gamow-Teller and Fermi transition operators, are completely determined. A few coupling constants of the boson-fermion and residual neutron-proton interactions are only phenomenological parameters fitted to reproduce low-energy spectra of odd-mass and odd-odd nuclei. It is found that the calculated $\log{}_{10}ft$ values for the $β^+$ decays $^{68}$As$\to^{68}$Ge are particularly sensitive to the quadrupole-quadrupole boson interaction strength used for the parent ($^{68}$As) nucleus. We further incorporate higher-order terms in the one-nucleon transfer operators in the boson system, and find that, while their effects are non-negligible, they do not significantly alter qualitative features of $β$-decay properties. We report a novel application of the mapped IBM framework to compute $β$-decay half-lives, and show that the observed trend along isotopic chains are reasonably reproduced. |
| title | Sensitivity analysis of $β$-decay half-life predictions for Ge, As, Zr and Mo nuclei within the mapped interacting boson model |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2411.19480 |