Study of \b{eta}-Decay, log ft Values and Nuclear Structure Properties of Neutron-rich Ge Nuclei
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| Format: | Preprint |
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2025
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| author | Nabi, Jameel-Un Khalid, Wajeeha Kabir, Abdul Rida, Syeda Anmol |
| author_facet | Nabi, Jameel-Un Khalid, Wajeeha Kabir, Abdul Rida, Syeda Anmol |
| contents | We use the relativistic mean field (RMF) model to conduct a thorough analysis of the ground-state properties of $^{67\text{--}80}$Ge nuclei. Binding energies and neutron skin thicknesses are computed for a total of 14 neutron-rich Ge isotopes. This study provides a comprehensive overview of the RMF model's explanation of nuclear ground-state properties. Furthermore, we examine the $\log ft$ values of the allowed $β^\pm$ decays and electron/positron capture rates on Ge isotopes in the mass region $A = 67\text{--}80$. The proton-neutron quasiparticle random phase approximation (pn-QRPA) method was employed to calculate the $β$-decay properties of selected Ge isotopes. The calculated $\log ft$ values show good consistency with the measured data. The predicted $β$-decay half-lives are within a factor of 2 of the measured values. For high temperature and density conditions in the core of massive stars, the calculated pn-QRPA stellar rates are up to an order of magnitude larger than the independent shell model rates. The findings reported in this study could be valuable for simulating the late-stage stellar evolution of massive stars. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_12089 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Study of \b{eta}-Decay, log ft Values and Nuclear Structure Properties of Neutron-rich Ge Nuclei Nabi, Jameel-Un Khalid, Wajeeha Kabir, Abdul Rida, Syeda Anmol Nuclear Theory We use the relativistic mean field (RMF) model to conduct a thorough analysis of the ground-state properties of $^{67\text{--}80}$Ge nuclei. Binding energies and neutron skin thicknesses are computed for a total of 14 neutron-rich Ge isotopes. This study provides a comprehensive overview of the RMF model's explanation of nuclear ground-state properties. Furthermore, we examine the $\log ft$ values of the allowed $β^\pm$ decays and electron/positron capture rates on Ge isotopes in the mass region $A = 67\text{--}80$. The proton-neutron quasiparticle random phase approximation (pn-QRPA) method was employed to calculate the $β$-decay properties of selected Ge isotopes. The calculated $\log ft$ values show good consistency with the measured data. The predicted $β$-decay half-lives are within a factor of 2 of the measured values. For high temperature and density conditions in the core of massive stars, the calculated pn-QRPA stellar rates are up to an order of magnitude larger than the independent shell model rates. The findings reported in this study could be valuable for simulating the late-stage stellar evolution of massive stars. |
| title | Study of \b{eta}-Decay, log ft Values and Nuclear Structure Properties of Neutron-rich Ge Nuclei |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2503.12089 |