Neutrinoless double-$β$ decay and double Gamow-Teller transitions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917702593937408 |
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| author | Wang, Y. K. Zhao, P. W. Meng, J. |
| author_facet | Wang, Y. K. Zhao, P. W. Meng, J. |
| contents | The neutrinoless double-$β$ ($0νββ$) decay and the double Gamow-Teller (DGT) transition are investigated with the state-of-the-art Relativistic Configuration-interaction Density functional theory. A strong linear correlation between the nuclear matrix elements (NMEs) of the $0νββ$ decay and the DGT transition is demonstrated. This linear correlation is found to originate from the similarity of the leading-order term of the $0νββ$-decay operator and the DGT-transition one, as revealed by expanding the $0νββ$-decay operator in terms of the spherical harmonics. The present results provide a strong support to constrain the $0νββ$-decay NMEs through the double charge-exchange reactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06455 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Neutrinoless double-$β$ decay and double Gamow-Teller transitions Wang, Y. K. Zhao, P. W. Meng, J. Nuclear Theory The neutrinoless double-$β$ ($0νββ$) decay and the double Gamow-Teller (DGT) transition are investigated with the state-of-the-art Relativistic Configuration-interaction Density functional theory. A strong linear correlation between the nuclear matrix elements (NMEs) of the $0νββ$ decay and the DGT transition is demonstrated. This linear correlation is found to originate from the similarity of the leading-order term of the $0νββ$-decay operator and the DGT-transition one, as revealed by expanding the $0νββ$-decay operator in terms of the spherical harmonics. The present results provide a strong support to constrain the $0νββ$-decay NMEs through the double charge-exchange reactions. |
| title | Neutrinoless double-$β$ decay and double Gamow-Teller transitions |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2403.06455 |