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A semiclassical approach is proposed to calculate the collective potentialand mass parameters to formulate a collective Hamiltonian capable of describingthe wobbling motion in both even-even and odd-mass systems. By diagonalizingthe resulting collective Hamiltonian (CH), one can obtain the energies and wavefunctions associated with the wobbling states. Furthermore, a novel techniquecalled spin squeezed state (SSS) maps is introduced based on the derived wavefunctions. To validate the results obtained from the collective Hamiltonian, acomparative analysis is conducted against predictions from the triaxial rotormodel (TRM) and particle triaxial rotor (PTR) model. Notably, the SSS plotsdetermined using the TRM and PTR models exhibit a strong correlation with theprobability density distributions of the wave functions obtained from the CH.This correlation highlights the consistency and coherence between the differenttheoretical approaches when describing the wobbling phenomenon and associatedrotational dynamics.

Spin squeezed states and wobbling motion in collective Hamiltonian