Criticality in the configuration-mixed interacting boson model : (1) $U(5)-\hat{Q}(\chi)\cdot\hat{Q}(\chi)$ mixing

TL;DR

This paper investigates phase transitions in the configuration-mixed Interacting Boson Model with U(5) and Q(χ) interactions, analyzing phase diagrams and critical behavior through mean-field approximation.

Contribution

It provides a detailed analysis of phase diagrams and critical phenomena in the U(5)-Q(χ) mixing case within the Interacting Boson Model, including analytical and numerical solutions.

Findings

Identification of first-order and second-order phase transitions.

Construction of phase diagrams with analytical and numerical methods.

Analysis of critical exponents and binding energies.

Abstract

The case of U(5)--$\hat{Q}(\chi)\cdot\hat{Q}(\chi)$ mixing in the configuration-mixed Interacting Boson Model is studied in its mean-field approximation. Phase diagrams with analytical and numerical solutions are constructed and discussed. Indications for first-order and second-order shape phase transitions can be obtained from binding energies and from critical exponents, respectively.