Euclidean Dynamical Symmetry in Nuclear Shape Phase Transitions

TL;DR

This paper uncovers a hidden Euclidean dynamical symmetry in nuclear shape phase transitions using a novel algebraic F(5) approach, providing a unified symmetry-based interpretation of critical phenomena.

Contribution

It introduces a new algebraic F(5) framework revealing Euclidean symmetry in nuclear shape phase transitions, unifying critical phenomena analysis.

Findings

Euclidean symmetry is identified in the critical region of nuclear shape transitions.

The F(5) algebraic description unifies different shape phase transitions.

A nonlinear projection links the algebraic model to physical dynamics.

Abstract

The Euclidean dynamical symmetry hidden in the critical region of nuclear shape phase transitions is revealed by a novel algebraic F(5) description. With a nonlinear projection, it is shown that the dynamics in the critical region of the spherical--axial deformed and the spherical--$\gamma$ soft shape phase transitions can indeed be manifested by this description, which thus provides a unified symmetry--based interpretation of the critical phenomena in the region.