Simultaneous description of wobbling and chiral properties in even-odd triaxial nuclei

TL;DR

This paper develops a semi-classical model for even-odd triaxial nuclei that describes both wobbling and chiral properties, revealing mirror-image wobbling states and twin bands, indicating coexistence of nuclear signatures.

Contribution

It introduces a unified semi-classical framework for describing wobbling and chiral phenomena in triaxial nuclei, including analytical solutions for wobbling frequencies.

Findings

Identification of mirror-image wobbling states.

Emergence of twin bands with changing angular momentum.

Coexistence of wobbling and chiral signatures in a single nucleus.

Abstract

A particle-triaxial rigid core Hamiltonian is semi-classically treated. The coupling term corresponds to a particle rigidly coupled to the triaxial core, along a direction that does not belong to any principal plane of the inertia ellipsoid.The equations of motion for the angular momentum components provide a sixth-order algebraic equation for one component and subsequently equations for the other two. Linearizing the equations of motion, a dispersion equation for the wobbling frequency is obtained. The equations of motion are also considered in the reduced space of generalized phase space coordinates. Choosing successively the three axes as quantization axis will lead to analytical solutions for the wobbling frequency, respectively. The same analysis is performed for the chirally transformed Hamiltonian. With an illustrative example one identified wobbling states whose frequencies are mirror image to one another. Changing the total angular momentum I, a pair of twin bands emerged. Note that the present formalism conciliates between the two signatures of triaxial nuclei, i.e., they could coexist for a single nucleus.