Abstract

The mixed-symmetry ${2}^{+}$ state of $^{56}\mathrm{Fe}$ is investigated by a large-scale shell-model calculation. We can reproduce the experimental energy levels by the Kuo-Brown interaction, as well as the E2 and M1 transition probabilities. The (e,e') form factors are also reproduced by including the core-polarization effect. By inspecting the shell-model wave functions thus tested, it is found that the ${2}_{2}^{+}$ and ${2}_{4}^{+}$ states share a large fraction of the mixed-symmetry component.

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