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

Details The Half-Life and the Nuclear Matrix Element of the $2νββ$ Decay in $^{76}Ge$ The Half-Life and the Nuclear Matrix Element of the $2νββ$ Decay in $^{76}Ge$

2000-04-29

arxiv.org/abs/nucl-th/0005002v1

Physics

Nuclear Physics

Nuclear Theory

6 pages

Scientific paper

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 recent observed $2\nu\beta\beta$-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 $0\nu\beta\beta$-decay half-life.

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