Regularities and symmetries of subsets of collective 0+ states

Abstract

The energies of subsets of excited 0+ states in geometric collective models are investigated and found to exhibit intriguing regularities. In models with an infinite square well potential, it is found that a single formula, dependent on only the number of dimensions, describes a subset of 0+ states. The same behavior of a subset of 0+ states is seen in the large boson number limit of the Interacting Boson Approximation (IBA) model near the critical point of a first order phase transition, in contrast to the fact that these 0+ state energies exhibit a harmonic behavior in all three limiting symmetries of the IBA. Finally, the observed regularities in 0+ energies are analyzed in terms of the underlying group theoretical framework of the different models.

9 pages, 3 figures, added reference [38]

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Cited by in corpus (3)

• Sextic potential for $\gamma$-rigid prolate nuclei
• Shape phase mixing in critical point nuclei
• Regularity and chaos in 0+ states of the interacting boson model using quantum measures