Abstract
Band structure and electromagnetic transition properties of the low-lying states in the $N=Z$ $^{68}\mathrm{Se}$ nucleus were studied within the framework of interacting boson model 3. The isospin excitation states with $Tg{T}_{Z}$ are identified. The $M$1 and $E$2 matrix elements for low-lying states have been investigated and were used to identify the low-lying mixed symmetry states. Special attention is given to the occurrence of ${0}_{2}^{+}$ state, recently predicted by the projected shell-model (PSM) calculation. The present predicted spectrum for $^{68}\mathrm{Se}$ is close to the recent PSM results and confirms the results for the ${0}_{2}^{+}$ state. The calculated results are compared with available experimental data, and they are in general good agreement.
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