Bohr-Mottelson Hamiltonian with octic potential applied to the $^{106-116}$Cd isotopes
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915705911246848 |
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| author | Buganu, P. Budaca, R. |
| author_facet | Buganu, P. Budaca, R. |
| contents | The Bohr-Mottelson Hamiltonian, with an octic potential in the $β$-deformation variable, is numerically solved for a $γ$-unstable symmetry of the nuclear system. The analytical structure of the model allows the description of multiple phenomena of great interest for the nuclear structure such as ground-state shape phase transitions and their critical points, dynamical shape phase transitions, shape coexistence with and without mixing, anomalous in-band $E2$ transitions, large $E2$ intra-band transitions and large monopole transition between the first excited $0^+$ state and the ground state, respectively. As a first application of the present model is selected the $^{106-116}$Cd isotope chain known in literature to manifest shape phase transition, respectively shape coexistence and mixing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_21391 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bohr-Mottelson Hamiltonian with octic potential applied to the $^{106-116}$Cd isotopes Buganu, P. Budaca, R. Nuclear Theory The Bohr-Mottelson Hamiltonian, with an octic potential in the $β$-deformation variable, is numerically solved for a $γ$-unstable symmetry of the nuclear system. The analytical structure of the model allows the description of multiple phenomena of great interest for the nuclear structure such as ground-state shape phase transitions and their critical points, dynamical shape phase transitions, shape coexistence with and without mixing, anomalous in-band $E2$ transitions, large $E2$ intra-band transitions and large monopole transition between the first excited $0^+$ state and the ground state, respectively. As a first application of the present model is selected the $^{106-116}$Cd isotope chain known in literature to manifest shape phase transition, respectively shape coexistence and mixing. |
| title | Bohr-Mottelson Hamiltonian with octic potential applied to the $^{106-116}$Cd isotopes |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2508.21391 |