The nuclear matrix elements of ${}_{}{}^{76}{}_{}{}^{}\mathrm{Ge}$ and ${}_{}{}^{82}{}_{}{}^{}\mathrm{Se}$ are studied by using the shell model wave functions in a model-space approximation. The influences of both nuclear short-range correlation and finite nucleon size on the transition matrix elements are also taken into account. The limits of Majorana neutrino mass and mixing parameter of right-handed current have been deduced by fitting the experimental values of 0νββ decay lifetimes of ${}_{}{}^{76}{}_{}{}^{}\mathrm{Ge}$ and ${}_{}{}^{82}{}_{}{}^{}\mathrm{Se}$.

• Received 12 February 1993

DOI:https://doi.org/10.1103/PhysRevC.48.2673