Spin determination and quantized alignment in the superdeformed bands inDy152,Tb151, andGd150

The spin of the lowest level observed in the superdeformed band in ${}_{}{}^{152}{}_{}{}^{}\mathrm{Dy}$ is determined to be ${\mathit{I}}_0$=25 rather than the previously assigned ${\mathit{I}}_0$=22. As a result, we have ${\mathit{scrI}}^{\mathrm{}\left(1\right)\mathrm{}}$>${\mathit{scrI}}^{\mathrm{}\left(2\right)\mathrm{}}$ and both ${\mathit{scrI}}^{\mathrm{}\left(1\right)\mathrm{}}$ and ${\mathit{scrI}}^{\mathrm{}\left(2\right)\mathrm{}}$ decrease very slowly with rotational frequency. From the spin determination of the two pairs of identical bands in ${}_{}{}^{152}{}_{}{}^{}\mathrm{Dy}$ and ${}_{}{}^{151}{}_{}{}^{}\mathrm{Tb}_{}^{\mathrm{*}}{}_{}{}^{}$, ${}_{}{}^{151}{}_{}{}^{}\mathrm{Tb}$ and ${}_{}{}^{150}{}_{}{}^{}\mathrm{Gd}_{}^{\mathrm{*}}{}_{}{}^{}$, evidence has been obtained to support the assumption of quantized alignments in units of ħ/2.