The effect of inversion of $p$ and $f$ orbits on halo formation in heavy sodium isotopes
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918265129795584 |
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| author | Singh, Jagjit Casal, J. Fortunato, L. Walet, N. R. |
| author_facet | Singh, Jagjit Casal, J. Fortunato, L. Walet, N. R. |
| contents | The role of the inversion of the $p$ and $f$ shell-model orbits in the emergence of halo structures in the ground states of neutron-rich $^{34,37,39}$Na is investigated. Families of two- and three-body models are constructed with effective core-neutron interactions, with parameter choices based on a combination of the available experimental data and systematic trends, as well as the GPT $n$-$n$ interaction and a phenomenological three-body force. Our results indicate a possible one-neutron halo in $^{34}$Na, while $^{37,39}$Na exhibit features of Borromean halos. The halo formation is driven by the weakening of the shell gap and inversion of the $2p_{3/2}$ and $1f_{7/2}$ orbits expected to occur somewhere near these masses. We further show that the electric dipole response provides a clear and sensitive probe of halo structure in these isotopes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22951 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The effect of inversion of $p$ and $f$ orbits on halo formation in heavy sodium isotopes Singh, Jagjit Casal, J. Fortunato, L. Walet, N. R. Nuclear Theory Nuclear Experiment The role of the inversion of the $p$ and $f$ shell-model orbits in the emergence of halo structures in the ground states of neutron-rich $^{34,37,39}$Na is investigated. Families of two- and three-body models are constructed with effective core-neutron interactions, with parameter choices based on a combination of the available experimental data and systematic trends, as well as the GPT $n$-$n$ interaction and a phenomenological three-body force. Our results indicate a possible one-neutron halo in $^{34}$Na, while $^{37,39}$Na exhibit features of Borromean halos. The halo formation is driven by the weakening of the shell gap and inversion of the $2p_{3/2}$ and $1f_{7/2}$ orbits expected to occur somewhere near these masses. We further show that the electric dipole response provides a clear and sensitive probe of halo structure in these isotopes. |
| title | The effect of inversion of $p$ and $f$ orbits on halo formation in heavy sodium isotopes |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2512.22951 |