Phase Structure of the Interacting Vector Boson Model

TL;DR

This paper explores the phase structure of the Interacting Vector Boson Model (IVBM), identifying various dynamical symmetries and analyzing quantum phase transitions between different geometric configurations of the ground state.

Contribution

It provides a detailed analysis of the phase diagram of IVBM, including the classical images of dynamical symmetries and the characterization of quantum phase transitions.

Findings

Identification of spherical, gamma-unstable, and axially deformed phases.

Determination of phase boundaries and quantum phase transition points.

Description of the geometric configurations associated with each phase.

Abstract

The two-fluid Interacting Vector Boson Model (IVBM) with the U(6) as a dynamical group possesses a rich algebraic structure of physical interesting subgroups that define its distinct exactly solvable dynamical limits. The classical images corresponding to different dynamical symmetries are obtained by means of the coherent state method. The phase structure of the IVBM is investigated and the following basic phase shapes, connected to a specific geometric configurations of the ground state, are determined: spherical, $U_{p}(3)\otimes U_{n}(3)$, $\gamma-$unstable, O(6), and axially deformed shape, $SU(3)\otimes U_{T}(2)$. The ground state quantum phase transitions between different phase shapes, corresponding to the different dynamical symmetries and mixed symmetry case, are investigated.