Effect of nuclear deformation on Gamow-Teller strength distributions of Hg isotopes
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913750466953216 |
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| author | Nabi, Jameel-Un Riaz, Muhammad Bayram, Tuncay Azaz, Muhammad |
| author_facet | Nabi, Jameel-Un Riaz, Muhammad Bayram, Tuncay Azaz, Muhammad |
| contents | Recent studies \cite{1,2} predicted the sensitivity of the Gamow-Teller (GT) strength distributions to nuclear deformation in neutron-deficient Hg isotopes. Motivated by this work, we investigate nuclear ground-state properties and GT strength distributions for neutron-deficient Hg isotopes ($^{177\hbox{-}193}$Hg).
The nuclear deformation ($β(E2)$) values were calculated using the **Relativistic Mean Field (RMF)** model. The RMF approach, with different density-dependent interactions (**DD-ME2** and **DD-PC1**), was employed to compute nuclear shape parameters. These computed deformation values were then used within the framework of the **deformed proton-neutron quasi-particle random phase approximation (pn-QRPA)** model, with a separable interaction, to calculate the allowed GT strength distributions for these Hg isotopes.
Our calculations validate the findings of \cite{1} and confirm the effect of deformation on GT strength distributions. This study may further provide a complementary signature for nuclear shape isomers. Noticeable differences are highlighted between our results and previous calculations. The study of \cite{1} suggests that $^{177\hbox{-}182}$Hg possess prolate shapes, while $^{184\hbox{-}196}$Hg exhibit oblate shapes. In contrast, our calculations predict **prolate** shapes for $^{177\hbox{-}188}$Hg and **oblate** shapes for $^{189\hbox{-}193}$Hg isotopes. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_17266 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effect of nuclear deformation on Gamow-Teller strength distributions of Hg isotopes Nabi, Jameel-Un Riaz, Muhammad Bayram, Tuncay Azaz, Muhammad Nuclear Theory Recent studies \cite{1,2} predicted the sensitivity of the Gamow-Teller (GT) strength distributions to nuclear deformation in neutron-deficient Hg isotopes. Motivated by this work, we investigate nuclear ground-state properties and GT strength distributions for neutron-deficient Hg isotopes ($^{177\hbox{-}193}$Hg). The nuclear deformation ($β(E2)$) values were calculated using the **Relativistic Mean Field (RMF)** model. The RMF approach, with different density-dependent interactions (**DD-ME2** and **DD-PC1**), was employed to compute nuclear shape parameters. These computed deformation values were then used within the framework of the **deformed proton-neutron quasi-particle random phase approximation (pn-QRPA)** model, with a separable interaction, to calculate the allowed GT strength distributions for these Hg isotopes. Our calculations validate the findings of \cite{1} and confirm the effect of deformation on GT strength distributions. This study may further provide a complementary signature for nuclear shape isomers. Noticeable differences are highlighted between our results and previous calculations. The study of \cite{1} suggests that $^{177\hbox{-}182}$Hg possess prolate shapes, while $^{184\hbox{-}196}$Hg exhibit oblate shapes. In contrast, our calculations predict **prolate** shapes for $^{177\hbox{-}188}$Hg and **oblate** shapes for $^{189\hbox{-}193}$Hg isotopes. |
| title | Effect of nuclear deformation on Gamow-Teller strength distributions of Hg isotopes |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2503.17266 |