Broken O(5) and O(3) symmetries in a general non-spherical boson basis

A. Leviatan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


We discuss the spontaneous symmetry breaking of O(3) and O(5) rotations occurring in an exact ground state of certain schematic IBM-interactions. The ground state is a condensate built from one of six bosons forming a general non-spherical boson basis whose members depend continuously on the deformation parameters β and γ. Interpreting some of the basis members as Goldstone bosons allows a convenient separation between bosons representing physical and spurious modes. The schematic interactions are shown to be suitable for forming Hamiltonians whose eigenstates are clustered into bands.

Original languageAmerican English
Pages (from-to)467-472
Number of pages6
JournalZeitschrift für Physik A Atoms and Nuclei
Issue number3
StatePublished - Sep 1985
Externally publishedYes


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