Nuclear β−-decay half-lives for and shell nuclei

Abstract

In the present work we calculate the allowed -decay half-lives of nuclei with and N 50 systematically under the framework of the nuclear shell model. A recent study shows that some nuclei in this region belong to the island of inversion. We perform calculation for fp shell nuclei using the KB3G effective interaction. In the case of Ni, Cu, and Zn, we used the JUN45 effective interaction. Theoretical results of Q values, half-lives, excitation energies, logft values, and branching fractions are discussed and compared with the experimental data. In the Ni region, we also compared our calculated results with recent experimental data (Xu et al 2014 Phys. Rev. Lett. 113 032505). The present results agree with the experimental data of half-lives in comparison to QRPA.