Period of the $\gamma$-ray staggering in the ${}^{150}\mathrm{Gd}$ superdeformed region

It has been previously proposed to explain $\gamma$-ray staggerings in the deexcitation of some superdeformed bands in the ${}^{150}\mathrm{Gd}$ region in terms of a coupling between global rotation and intrinsic vortical modes. The observed $4ħ$ period for the phenomenon is suggested from our microscopic Routhian calculations using the Skyrme ${\mathrm{SkM}}^{*}$ effective interaction.