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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2304.12009 |
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| _version_ | 1866915175910604800 |
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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 relativistic configuration-interaction density functional theory is developed for even-even and odd-odd nuclei and is used to predict the nuclear matrix element of the neutrinoless $ββ$ ($0νββ$) decay in nucleus $^{76}$Ge, amongst the most promising $ββ$-decay candidates. The nonaxial deformation, i.e., triaxiality, which poses severe challenges in evaluating the nuclear matrix element of $^{76}$Ge, is incorporated within a full model space for the first time. The spectroscopic properties of the $ββ$-decay partners $^{76}$Ge and $^{76}$Se, and the nuclear matrix element governing the two-neutrino $ββ$ ($2νββ$) decay in $^{76}$Ge are well reproduced, providing solid examinations for the validity of theoretical calculations. The inclusion of the triaxial degree of freedom enhances the nuclear matrix element of the $0νββ$ decay significantly by a factor around two. The present results indicate that the goals of next-generation experiments searching for the $0νββ$ decay in $^{76}$Ge can be achieved using only a quarter amount of the experimental materials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_12009 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Relativistic configuration-interaction density functional theory: Nonaxial effects on nuclear $ββ$ decay Wang, Y. K. Zhao, P. W. Meng, J. Nuclear Theory The relativistic configuration-interaction density functional theory is developed for even-even and odd-odd nuclei and is used to predict the nuclear matrix element of the neutrinoless $ββ$ ($0νββ$) decay in nucleus $^{76}$Ge, amongst the most promising $ββ$-decay candidates. The nonaxial deformation, i.e., triaxiality, which poses severe challenges in evaluating the nuclear matrix element of $^{76}$Ge, is incorporated within a full model space for the first time. The spectroscopic properties of the $ββ$-decay partners $^{76}$Ge and $^{76}$Se, and the nuclear matrix element governing the two-neutrino $ββ$ ($2νββ$) decay in $^{76}$Ge are well reproduced, providing solid examinations for the validity of theoretical calculations. The inclusion of the triaxial degree of freedom enhances the nuclear matrix element of the $0νββ$ decay significantly by a factor around two. The present results indicate that the goals of next-generation experiments searching for the $0νββ$ decay in $^{76}$Ge can be achieved using only a quarter amount of the experimental materials. |
| title | Relativistic configuration-interaction density functional theory: Nonaxial effects on nuclear $ββ$ decay |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2304.12009 |