$β$-Decay Half-Lives Serve as Novel Evidence for the New Magic Number \(N=32\)
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arXiv
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| Autores principales: | , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866912951174168576 |
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| author | Guo, L. Wang, Z. H. Zhi, X. L. Niu, Y. F. Long, W. H. Niu, Z. M. Zeng, Q. B. Liu, Z. |
| author_facet | Guo, L. Wang, Z. H. Zhi, X. L. Niu, Y. F. Long, W. H. Niu, Z. M. Zeng, Q. B. Liu, Z. |
| contents | Conventional signatures of nuclear magic number, including low-lying quadrupole collectivity and mass systematics, face significant challenges when probing emergent shell closures near the drip line. However, $β$-decay half-lives are among the first experimental observables measurable following the discovery of neutron-rich isotopes. This letter demonstrates that $β$-decay half-lives provide evidence for the emergent magic number $N=32$. The observed half-life pattern around the $N=32$ can be attributed to the occupation probabilities of orbitals above this shell gap, which directly reflect the gap's magnitude. Our results reveal a pronounced $N=32$ shell gap in Ca isotopes and a weaker yet apparent gap in K isotopes, consistent with mass and electromagnetic transition data. Furthermore, the analysis indicates no prominent closed-shell signature at $N=32$ in Ar and Cl isotopes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07069 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $β$-Decay Half-Lives Serve as Novel Evidence for the New Magic Number \(N=32\) Guo, L. Wang, Z. H. Zhi, X. L. Niu, Y. F. Long, W. H. Niu, Z. M. Zeng, Q. B. Liu, Z. Nuclear Theory Nuclear Experiment Conventional signatures of nuclear magic number, including low-lying quadrupole collectivity and mass systematics, face significant challenges when probing emergent shell closures near the drip line. However, $β$-decay half-lives are among the first experimental observables measurable following the discovery of neutron-rich isotopes. This letter demonstrates that $β$-decay half-lives provide evidence for the emergent magic number $N=32$. The observed half-life pattern around the $N=32$ can be attributed to the occupation probabilities of orbitals above this shell gap, which directly reflect the gap's magnitude. Our results reveal a pronounced $N=32$ shell gap in Ca isotopes and a weaker yet apparent gap in K isotopes, consistent with mass and electromagnetic transition data. Furthermore, the analysis indicates no prominent closed-shell signature at $N=32$ in Ar and Cl isotopes. |
| title | $β$-Decay Half-Lives Serve as Novel Evidence for the New Magic Number \(N=32\) |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2603.07069 |