# Analytic predictions for nuclear shapes, the prolate dominance and the prolate-oblate shape transition in the proxy-SU(3) model

## TL;DR

This paper introduces a new analytic proxy-SU(3) model to predict nuclear shapes, including deformation variables and shape transitions, showing good agreement with empirical data.

## Contribution

The paper presents a novel approximate analytic proxy-SU(3) scheme for predicting nuclear shape observables without adjustable parameters.

## Key findings

- Predicted gamma and beta deformation variables match empirical data.
- Confirmed prolate dominance in nuclear shapes.
- Identified the locus of prolate-oblate shape transition.

## Abstract

Using a new approximate analytic parameter-free proxy-SU(3) scheme, we make simple predictions of shape observables for deformed nuclei, namely gamma and beta deformation variables, the global feature of prolate dominance and the locus of the prolate-oblate shape transition. The predictions are compared with empirical results.