Evolution of single-particle states beyond $^{132}$Sn

We have performed shell-model calculations for the two one-valence-neutron isotones Te-135 and Xe-137 and the two one-valence-proton isotopes Sb-135,Sb-137. The main aim of our study has been to investigate the evolution of single-particle states with increasing nucleon number. To this end, we have focused attention on the spectroscopic factors and the effective single-particle energies. In our calculations, we have employed a realistic low-momentum two-body effective interaction derived from the CD-Bonn nucleon-nucleon potential that has already proved quite successful in describing the spectroscopic properties of nuclei in the Sn-132 region. Comparison shows that our results reproduce very well the available experimental data. This gives confidence in the evolution of the single-particle states predicted by the present study. DOI: 10.1103/PhysRevC.87.034309