NEW RESULTS FOR 2ννSS SS DECAY WITHIN A FULLY RENORMALIZED pnQRPA APPROACH WITH RESTORED GAUGE SYMMETRY

摘要

A many body Hamiltonian involving the mean field for a projected spherical single particle basis, the pairing interactions for alike nucleons, a repulsive dipole-dipole proton-neutron interaction in the particle-hole (ph) channel and an attractive dipole-pairing interaction is treated by the gauge restored of a fully renormalized proton-neutron quasiparticle random phase approximation (GRFRpnQRPA) approach. The resulting wave functions and energies for the mother and the daughter nuclei are used to calculate the 2νββ decay rate and the process half life. The formalism is applied for the decays of ~(148)Nd, ~(150)Nd, ~(154)Sm and ~(160)Gd. The results are compared with those obtained by traditional methods. The Ikeda sum rule (ISR) is obeyed.