The Half-Life and the Nuclear Matrix Element of the $2νββ$ Decay in $^{76}Ge$
Abstract
Description
We apply the shell-model wave-functions of $^{76}Ge$ to calculate the nuclear matrix elements and the half-life of the $2νββ$ decay in $^{76}Ge$. Our result is comparable to the recent observed $2νββ$-decay half-life of $^{76}Ge$. Furthemore it provides the upper limit of the effective neutrino mass is about 0.4 eV from the recent experimental data of the $0νββ$-decay half-life.
6 pages
6 pages