Description of the Superdeformed Bands of the Lutetium Isotopes**The project partly supported by National Natural Science Foundation of China under Grant No. 19875001

Abstract

In the cases with and without a perturbation possessing the (or ) symmetry in the supersymmetry scheme with many-body interactions, superdeformed bands in the odd-A Lu isotopes are investigated. Quantitatively good results of -ray energies and dynamical moments of inertia are obtained in both of the two cases. It shows that the supersymmetry scheme with many-body interactions has almost the same power to describe the triaxial superdeformed bands as to the other superdeformed bands.