The Half-Life and the Nuclear Matrix Element of the $2\nu \beta \beta$ Decay in ${}^{76}Ge$

Hui-fang Wu, Tao Huang

We apply the shell-model wave-functions of ${}^{76}Ge$ to calculate the nuclear matrix elements and the half-life of the $2\nu \beta \beta$ decay in ${}^{76}Ge$. Our result is comparable to the re…