Mixed-symmetry2+state ofFe56in realistic shell model

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.