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

TL;DR

This paper presents a microscopic study of wobbling excitations in triaxial superdeformed nuclei using a realistic Woods-Saxon potential within a cranked mean-field and RPA framework, confirming wobbling phonons and deformation trends.

Contribution

It introduces the use of the Woods-Saxon potential for microscopic calculations of wobbling excitations, improving realism over previous Nilsson-based models.

Findings

Wobbling-like RPA solutions are systematically found in studied nuclei.

Wobbling phonon excitations are confirmed microscopically.

Triaxial deformation increases with spin in observed TSD bands.

Abstract

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.