Charge radii of Sn isotopes in the relativistic mean field approximation
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866914482849054720 |
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| author | Marcos, S. Sandulescu, N. Niembro, R. |
| author_facet | Marcos, S. Sandulescu, N. Niembro, R. |
| contents | The kink observed in the nuclear charge radius of Sn isotopes around neutron number $N = 82$ is investigated within the relativistic mean-field (RMF) framework using the NL3$^*$ parameter set. It is shown that the small components of the Dirac spinors for the neutron single-particle states near the Fermi level play a crucial role in forming the kink through their contribution to the proton central potential. In particular, the significant differences between the radial parts of the small components of spin-orbit partner states make neutrons with $j = l - 1/2$ more efficient in increasing the nuclear charge radius than those with $j = l + 1/2$. However, the effect induced by the small components alone does not fully account for the magnitude of the kink observed in Sn isotopes. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_15904 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Charge radii of Sn isotopes in the relativistic mean field approximation Marcos, S. Sandulescu, N. Niembro, R. Nuclear Theory The kink observed in the nuclear charge radius of Sn isotopes around neutron number $N = 82$ is investigated within the relativistic mean-field (RMF) framework using the NL3$^*$ parameter set. It is shown that the small components of the Dirac spinors for the neutron single-particle states near the Fermi level play a crucial role in forming the kink through their contribution to the proton central potential. In particular, the significant differences between the radial parts of the small components of spin-orbit partner states make neutrons with $j = l - 1/2$ more efficient in increasing the nuclear charge radius than those with $j = l + 1/2$. However, the effect induced by the small components alone does not fully account for the magnitude of the kink observed in Sn isotopes. |
| title | Charge radii of Sn isotopes in the relativistic mean field approximation |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2604.15904 |