Nuclear shape phase transitions within a correlation between two quantum concepts

TL;DR

This paper uncovers a novel correlation between the Minimal Length and Deformation Dependent Mass concepts in transitional nuclei, providing a new signature for critical point symmetries and predicting new candidate nuclei.

Contribution

It introduces the first observed correlation between ML and DDM in nuclei near critical point symmetries, offering a new method to identify and predict nuclei at phase transition points.

Findings

Identified a correlation between ML and DDM in transitional nuclei

Proposed a new signature for critical point symmetries

Predicted new candidate nuclei for these symmetries

Abstract

We present a correlation that we have revealed, for the first time, between both quantum concepts, namely: the Minimal Length (ML) and the Deformation Dependent Mass (DDM) in transitional nuclei near the critical points symmetries (CPS) X(3) and Z(4). Such a correlation could be considered as a new signature for these CPS. This new signature allowed us to predict new candidate nuclei for these critical points.