Abstract
A many-body Hamiltonian involving the mean field for a projected spherical single particle basis, the pairing interactions for alike nucleons, the dipole–dipole proton–neutron interactions in the particle–hole (ph) channel and the ph dipole-pairing potential is treated by the projected gauge of fully renormalized proton–neutron quasiparticle random phase approximation (PGFRpnQRPA) approach. The resulting wavefunctions and energies for the mother and the daughter nuclei are used to calculate the 2νββ decay rate and the process half life. For illustration, the formalism is applied for the decays 100Mo→ 100Ru and 116Cd→ 116Sn. The results are in good agreement with the corresponding experimental data. The Ikeda sum rule is obeyed.
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