Shape isomers of light nuclei from the stability and consistency of the SU(3) symmetry

J Cseh,G Riczu,J Darai

doi:10.1016/j.physletb.2019.06.016

Abstract

We investigate the stability and self-consistency of the SU(3) symmetry and quadrupole deformation in light nuclei in terms of the Nilsson model and quasi-dynamical symmetry. It turns out that SU(3) is a remarkably good symmetry for commensurable major axes, similarly to the finding of the simple harmonic oscillator interaction. The method serves as an alternative to the well-known energy-minimum calculation for the determination of the shape isomers. In case of the 16O, 20Ne, and 24Mg nuclei the results of the two different procedures are in good agreement with each other.

Highlights

The coexistence of different shapes is a typical phenomenon of the many body systems
It is not based on the calculation of the energy surface, rather we investigate the stability and the selfconsistency of the quadrupole deformation
From the practical viewpoint it provides us with a new method for the determination of the shape isomers, which is an alternative to the well-known energy-minimum calculations, as mentioned above

Summary

Introduction

The coexistence of different shapes is a typical phenomenon of the many body systems. In this Letter we discuss an alternative way for the determination of the shape isomers It is not based on the calculation of the energy surface, rather we investigate the stability and the selfconsistency of the quadrupole deformation. From the practical viewpoint it provides us with a new method for the determination of the shape isomers, which is an alternative to the well-known energy-minimum calculations, as mentioned above. The stability regions of the SU(3) symmetry, or quadrupole deformation, which usually satisfy to a good approximation the requirement of self-consistency, provide us with the shape isomers (see lower part of Fig. 1). The embedded representation and the related quasi-dynamical symmetry explains why some models can be successful, when they (seemingly) have no right to be so, e.g. due to the presence of symmetry-breaking interactions

The method of calculation

Application

Summary and conclusion