Microscopic calculation of the wobbling excitations by using the Woods-Saxon potential as a nuclear mean-field

The wobbling excitations of the triaxial superdeformed (TSD) bands in the Lu and Hf region are studied by the microscopic framework of the cranked mean-field and the random-phase approximation (RPA). In contrast to the previous works, where the Nilsson potential was used, the more realistic Woods-Saxon potential is employed as a nuclear mean-field. The wobbling-like RPA solutions have been found systematically in the nuclei studied and their characteristic properties are investigated in details. This confirms the wobbling phonon excitations in TSD nuclei from the microscopic calculations. The result of $B(E2)$ values indicates that the triaxial deformation is increasing as a function of spin in the observed TSD bands in ${}^{163}$Lu.