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Frontiers of Physics

, 13:132107 | Cite as

Symmetries of the interacting boson model

  • P. Van Isacker
Review Article
  • 39 Downloads
Part of the following topical collections:
  1. Simplicity, Symmetry, and Beauty of Atomic Nuclei

Abstract

This contribution reviews the symmetry properties of the interacting boson model of Arima and Iachello. 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.

Keywords

interacting boson model 

Notes

Acknowledgements

I wish, on the occasion of the 88th anniversary of his birthday, to express my sincere thanks to Akito Arima for many years of stimulating discussions and his continual inspiration of my research. Many thanks are due to Amiram Leviatan and José-Enrique García-Ramos, in collaboration with whom many of the results reported in this contribution have been obtained.

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Copyright information

© Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Grand Accélérateur National d’Ions LourdsCEA/DRF–CNRS/IN2P3 Bd Henri BecquerelCaenFrance

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