Symmetries of the interacting boson model

TL;DR

This paper reviews the symmetry properties of the interacting boson model, highlighting the rarity of dynamical symmetries and the commonality of partial and quasi dynamical symmetries, with implications for nuclear structure modeling.

Contribution

It provides a comprehensive review of symmetry concepts in the interacting boson model, emphasizing the prevalence of partial and quasi dynamical symmetries over exact dynamical symmetries.

Findings

Dynamical symmetries are rare in the model.

Partial and quasi dynamical symmetries are widespread.

Illustrations demonstrate the extended symmetry concepts.

Abstract

In this contribution the symmetry properties of the interacting boson model of Arima and Iachello are reviewed. While the concept of a dynamical symmetry is by now a familiar one, this is not necessarily so for the extended notions of partial dynamical symmetry and quasi dynamical symmetry, which can be beautifully illustrated in the context of the interacting boson model. The main conclusion of the analysis is that dynamical symmetries are scarce while their partial and quasi extensions are ubiquitous.