Two-neutrino double beta decay of deformed nuclei within QRPA with realistic interaction

A method to implement realistic nucleon-nucleon residual interaction (Bonn CD force) based on the Brueckner G-matrix into the Quasiparticle Random Phase Approximation (QRPA) for deformed nuclei is formulated. The two-neutrino double decay for ground state to ground state transitions $^{76}$Ge$ \to ^{76}$Se and $^{150}$Nd $\to ^{150}$Sm is calculated along with the Gamow-Teller strength distributions. The effect of deformation on the observables is studied.