Stability of the wobbling motion in the triaxially deformed odd-A nucleus

Abstract

In order to analyze the content of the exact solutions for particle-rotor models with both the rigid and the hydrodynamical moments of inertia (MoI), as a theoretical probe we apply the Holstein–Primakoff (HP) boson expansion method to the total angular momentum and the single-particle angular momentum . We study the competition between Coriolis force and the single-particle potential by employing the different choices of the diagonal HP boson representations for the components of and along a common coordinate axis, and along perpendicular axes. We do not find any wobbling level sequence associated with the rotation around the principal axis with the medium MoI. The staggering in the alignments of about the axis with the medium MoI is found in the limited range of I, while the vector is confined about the axis with the largest MoI.