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

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.

References in corpus (2)

• Nuclear binding energies: Global collective structure and local shell-model correlations
• First-Order Quantum Phase Transition in a Finite System

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• Interplay between shape-phase transitions and shape coexistence in the Zr isotopes
• Disentangling phase transitions and critical points in the proton-neutron interacting boson model by catastrophe theory
• Quantum catastrophes from an algebraic perspective
• Two-neutron transfer reactions as a tool to study the interplay between shape coexistence and quantum phase transitions