Identification of Nuclei Exhibiting the SU(3) Dynamical Symmetry

TL;DR

This paper investigates nuclear excitation energy ratios and level statistics to identify nuclei with SU(3) dynamical symmetry, using IBM calculations and electromagnetic transition analysis to determine suitable examples.

Contribution

It introduces criteria based on excitation energy ratios and level statistics to identify nuclei exhibiting SU(3) symmetry, supported by IBM calculations and transition data.

Findings

Some nuclei with R4/2 >= 3.25 exhibit SU(3) symmetry features.

Not all nuclei with high R4/2 ratios are good SU(3) symmetry candidates.

Level statistics and transition rates help distinguish true SU(3) symmetric nuclei.

Abstract

We consider the possibility of identifying nuclei exhibiting the SU(3) dynamical symmetry as those having excitation energy ratio R4/2 >= 3.25. For this purpose, we consider the level statistics of some of these nuclei and perform interacting boson model (IBM) calculation of level schemes, and electromagnetic transition rates. We show that only some of these nuclei may be considered as good examples of the SU(3) dynamical symmetry.