Systematic description of the superdeformed bands of the odd-A nuclei in the A=150 region

With a perturbation possessing the SOsdg(5) [or SUsdg(5)] symmetry being in cluded in the supersymmetry scheme with many-body interactions, the superde formed (SD) bands of the odd-A nuclei in the A=150 mass region are investig ated and quantitatively good results are obtained. It shows that the many-b ody interactions play crucial roles in the SD states and the Delta I=4 bifu rcation may result from the perturbation holding the SOsdg(5) [or SUsdg(5)] symmetry. Moreover, to describe the identical SD bands well, both the supe rsymmetry and the single particle Routhian should be considered. [S0556-281 3(99)03205-7].