Cross-shell excitations in doubly magic 132Sn and its nearest neighbours

Large-scale shell-model calculations have been performed to study the excitation spectra of ¹³²Sn and its nearest neighbours with a new cross-shell interaction constructed from two widely used interactions, $sn100pn$ and CWG, of this mass region. A few of the two-body matrix elements have been tuned to reproduce the low-lying multiplet states of ¹³²Sn. The energy spectra and the transition probabilities of ¹³²Sn have been calculated within an extended space. The results reproduce even the most recent data. The excitation spectra for other nearest neighbours and the transition probabilities related to core-excited states are reproduced reasonably well. However, calculated E1 transition probabilities are under-predicted in most cases.