Wobbling motion in triaxial nuclei

TL;DR

This paper reviews experimental and theoretical studies of wobbling motion in triaxial nuclei, discussing classifications, models, and microscopic approaches to understand their collective rotational behavior.

Contribution

It provides a comprehensive overview of wobbling motion in triaxial nuclei, including classifications, detailed model descriptions, and comparisons of microscopic methods.

Findings

Classification into transverse and longitudinal wobbling.

Evaluation of quasiparticle+triaxial rotor model solutions.

Microscopic studies using RPA and shell models.

Abstract

The experimental evidence for the collective wobbling motion of triaxial nuclei is reviewed. The classification into transverse and longitudinal in the presence of quasiparticle excitations is discussed. The description by means of the quasiparticle+triaxial rotor model is discussed in detail. The structure of the states is analyzed using the spin-coherent-state and spin-squeezed-state representations of the reduced density matrices of the total and particle angular momenta, which distill the corresponding classical precessional motions. Various approximate solutions of the quasiparticle+triaxial rotor model are evaluated. The microscopic studies of wobbling in the small-amplitude random phase approximation are discussed. Selected studies of wobbling by means of the triaxial projected shell model are presented, which focus on how this microscopic approach removes certain deficiencies of the semi-microscopic quasiparticle+triaxial rotor model.