The fully consistent relativistic proton-neutron quasiparticle random phaseapproximation (PN-RQRPA) is employed in the calculation of beta-decayhalf-lives of neutron-rich nuclei in the N$\approx$50 and N$\approx$82 regions.A new density-dependent effective interaction, with an enhanced value of thenucleon effective mass, is used in relativistic Hartree-Bogoliubov calculationof nuclear ground states and in the particle-hole channel of the PN-RQRPA. Thefinite range Gogny D1S interaction is employed in the T=1 pairing channel, andthe model also includes a proton-neutron particle-particle interaction. Thetheoretical half-lives reproduce the experimental data for the Fe, Zn, Cd, andTe isotopic chains, but overestimate the lifetimes of Ni isotopes and predict astable 132Sn.
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