Parameter-independent predictions for shape variables of heavy deformed nuclei in the proxy-SU(3) model

TL;DR

This paper introduces a parameter-free proxy-SU(3) model to predict shape variables of heavy deformed nuclei, providing a new analytic approach that aligns well with empirical data and other theoretical models.

Contribution

The paper presents a novel, parameter-free proxy-SU(3) scheme for predicting nuclear shape variables, advancing analytic methods in nuclear structure modeling.

Findings

Predictions of beta and gamma deformation variables match empirical data.

The proxy-SU(3) model aligns with relativistic and non-relativistic mean-field theories.

The approach offers a new analytic tool for nuclear shape analysis.

Abstract

Using a new approximate analytic parameter-free proxy-SU(3) scheme, we make predictions of shape observables for deformed nuclei, namely beta and gamma deformation variables, and compare these with empirical data and with predictions by relativistic and non-relativistic mean-field theories.