Parameter free predictions within the proxy-SU(3) model

TL;DR

This paper introduces a parameter-free proxy-SU(3) model to predict nuclear shape observables and B(E2) ratios, showing good agreement with experimental data for deformed nuclei, and offers analytic expressions free of free parameters.

Contribution

The paper develops a new approximate analytic proxy-SU(3) scheme that predicts nuclear shape variables and B(E2) ratios without free parameters, enhancing theoretical understanding.

Findings

Predicted B(E2) ratios match experimental data for rare earth nuclei.

Derived analytic expressions for B(E2) ratios are parameter-free.

Proxy-SU(3) model accurately describes shape observables.

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 them with empirical data and with predictions by relativistic and non-relativistic mean-field theories. Furthermore, analytic expressions are derived for B(E2) ratios within the proxy-SU(3) model, free of any free parameters, and/or scaling factors. The predicted B(E2) ratios are in good agreement with the experimental data for deformed rare earth nuclides.