Investigating the effect of nuclear deformation on $β$-decay half-lives of neutron-rich nuclei
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| Format: | Preprint |
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2024
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| _version_ | 1866909269776924672 |
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| author | Nabi, Jameel-Un Bayram, Tuncay Khalid, Wajeeha Mehmood, Arslan Köseoğlu, Alper |
| author_facet | Nabi, Jameel-Un Bayram, Tuncay Khalid, Wajeeha Mehmood, Arslan Köseoğlu, Alper |
| contents | We examine the effect of nuclear deformation on the calculated $β$-decay half-lives of 55 neutron-rich nuclei. The deformation values were computed using DD-PC1 and DD-ME2 interactions in the Relativistic Hartree-Bogoliubov model. Yet another set of deformation was adopted from the Finite Range Droplet Model (FRDM). The model-dependent deformation values were used as a free parameter in the proton-neutron quasiparticle random phase approximation model to calculate the $β$-decay properties under terrestrial and stellar conditions. The Gamow-Teller strength distributions, branching ratios, half-lives and stellar weak rates of selected nuclei were later investigated. It was concluded that the $β$-decay properties of neutron-rich nuclei changed with nuclear deformation. The FRDM computed deformation values provided the best predictions for calculated half-lives followed by the DD-ME2 functional. The terrestrial $β$-decay half-lives changed up to 3 orders of magnitude and the stellar $β$-rates within a factor of 2 as the neutron-rich nuclei switched their geometrical configurations. For magic number nucleus $^{138}$Sn, the stellar rates changed substantially by more than 1 order of magnitude as the nucleus transitioned away from the spherical shape. Our investigation might prove useful for a realistic modeling of nucleosynthesis calculation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_18793 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Investigating the effect of nuclear deformation on $β$-decay half-lives of neutron-rich nuclei Nabi, Jameel-Un Bayram, Tuncay Khalid, Wajeeha Mehmood, Arslan Köseoğlu, Alper Nuclear Theory Solar and Stellar Astrophysics We examine the effect of nuclear deformation on the calculated $β$-decay half-lives of 55 neutron-rich nuclei. The deformation values were computed using DD-PC1 and DD-ME2 interactions in the Relativistic Hartree-Bogoliubov model. Yet another set of deformation was adopted from the Finite Range Droplet Model (FRDM). The model-dependent deformation values were used as a free parameter in the proton-neutron quasiparticle random phase approximation model to calculate the $β$-decay properties under terrestrial and stellar conditions. The Gamow-Teller strength distributions, branching ratios, half-lives and stellar weak rates of selected nuclei were later investigated. It was concluded that the $β$-decay properties of neutron-rich nuclei changed with nuclear deformation. The FRDM computed deformation values provided the best predictions for calculated half-lives followed by the DD-ME2 functional. The terrestrial $β$-decay half-lives changed up to 3 orders of magnitude and the stellar $β$-rates within a factor of 2 as the neutron-rich nuclei switched their geometrical configurations. For magic number nucleus $^{138}$Sn, the stellar rates changed substantially by more than 1 order of magnitude as the nucleus transitioned away from the spherical shape. Our investigation might prove useful for a realistic modeling of nucleosynthesis calculation. |
| title | Investigating the effect of nuclear deformation on $β$-decay half-lives of neutron-rich nuclei |
| topic | Nuclear Theory Solar and Stellar Astrophysics |
| url | https://arxiv.org/abs/2407.18793 |