Partial dynamical symmetry as a selection criterion for many-body interactions

TL;DR

This paper introduces partial dynamical symmetry (PDS) as a criterion for selecting higher-order many-body interactions, improving nuclear structure models, exemplified by the analysis of 156Gd.

Contribution

It systematically classifies many-body interactions with SU(3) PDS, enhancing the description of deformed nuclei and their triaxial features.

Findings

PDS effectively distinguishes states obeying or breaking symmetry.

Application to 156Gd reveals improved modeling of triaxial nuclear features.

Provides a new framework for refining nuclear interaction models.

Abstract

We propose the use of partial dynamical symmetry (PDS) as a selection criterion for higher-order terms in situations when a prescribed symmetry is obeyed by some states and is strongly broken in others. The procedure is demonstrated in a first systematic classification of many-body interactions with SU(3) PDS that can improve the description of deformed nuclei. As an example, the triaxial features of the nucleus 156Gd are analyzed.