FRpnQRPA approach with the gauge symmetry restored. Application for the 2νββ decay

Abstract

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 a gauge restored and fully renormalized proton-neutron quasiparticle random phase approximation formalism. Application to the 2νββ decay rate show a good agreement with the corresponding data. The Ikeda sum rule is obeyed.