Investigation of low-lying energy spectra for deformed prolate nuclei via partial dynamical SU(3) symmetry

TL;DR

This study explores the applicability of partial dynamical SU(3) symmetry to describe the low-lying energy spectra of deformed prolate nuclei, demonstrating good agreement with experimental data and highlighting its predictive power.

Contribution

It applies the partial dynamical SU(3) symmetry within the interacting boson model to a broad set of nuclei, showing its effectiveness in describing energy spectra and its advantages over full dynamical symmetry.

Findings

PDS provides a more regular description than DS for prolate nuclei.

Good agreement between PDS predictions and experimental energy spectra.

PDS can be used to predict properties of complex nuclei with high accuracy.

Abstract

We consider the possibility of identifying nuclei exhibiting the partial dynamical SU(3) symmetry (SU(3)-PDS) as those having excitation energy ratio R(4/2)>3.00 . For this purpose, the level energy spectra of a set of 51 nuclei in the rare earth and actinide regions which presenting an axially deformed prolate rotational structure were analyzed via nuclear partial dynamical SU(3) symmetry in the framework of interacting boson model, to see if the SU(3)-PDS is broadly applicable, and where, how, and in which nuclei it breaks down. Overall, the PDS works very well, the predictions of such intermediate symmetry structure for energy spectrum were compared with the most recent experimental data and an acceptable degree of agreement is achieved. We conclude that PDS predictions have a more regular behavior in description of axially deformed prolate rotational nuclei than DS, which may lead to accurate predictions of such nuclei, and hence play a significant role in understanding the regular behavior of complex nuclei.