Relativistic Configuration-interaction Density Functional Theory: Nuclear Matrix Elements for $\beta\beta$ Decay

Autor: Wang, Y. K., Zhao, P. W., Meng, J.
Rok vydání: 2023
Předmět:
Zdroj: Science Bulletin 69, 2017-2020 (2024)
Druh dokumentu: Working Paper
DOI: 10.1016/j.scib.2024.04.071
Popis: 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 $\beta\beta$ ($0\nu\beta\beta$) decay in $^{76}$Ge, amongst the most promising $\beta\beta$-decay candidates. The spectroscopic properties of the $\beta\beta$-decay partners $^{76}$Ge and $^{76}$Se, and the nuclear matrix element governing the two-neutrino $\beta\beta$ ($2\nu\beta\beta$) decay in $^{76}$Ge are well reproduced, providing solid benchmarks for the theoretical calculations. The inclusion of the triaxial degree of freedom slightly enhances the nuclear matrix element of the $2\nu\beta\beta$ decay while raises that of the $0\nu\beta\beta$ decay significantly by a factor around two. The present results highlight the importance of nuclear triaxial deformation for a better prediction of the $0\nu\beta\beta$-decay nuclear matrix element.
Comment: 14 pages, 4 figures
Databáze: arXiv