Shell model study of neutron-rich nuclei near132Sn

The structures of neutron-rich isotones $N=82\mathrm{}–84$ of nuclei near ${}^{132}\mathrm{Sn}$ have been studied within the shell model formalism using available interactions obtained from the well-studied ${}^{208}\mathrm{Pb}$ region after proper scaling. The theoretically calculated binding energies, excitation energies, transition probabilities, magnetic moments have been compared with the experimental results. For $N=82,83\mathrm{}$ isotones, the results agree reasonably well with the experimental data. But for $N=84\mathrm{}$ isotones, the agreement between theoretical and experimental energies and transition probabilities is not satisfactory.