Realistic shell-model calculations for proton particle-neutron hole nuclei around 132 Sn

We have performed shell-model calculations for nuclei with proton particles and neutron holes around ${}^{132}\mathrm{Sn}$ using a realistic effective interaction derived from the CD-Bonn nucleon-nucleon potential. For the proton-neutron channel this is explicitly done in the particle-hole formalism. The calculated results are compared with the available experimental data, particular attention being focused on the proton particle-neutron hole multiplets. A very good agreement is obtained for all four nuclei considered, ${}^{132}\mathrm{Sb},$ ${}^{130}\mathrm{Sb},$ ${}^{133}\mathrm{Te},$ and ${}^{131}\mathrm{Sb}.$ We predict many low-energy states which have no experimental counterpart. This may stimulate, and be helpful to, future experiments.