Regularities and symmetries of subsets of collective 0+ states

Details Regularities and symmetries of subsets of collective 0+ states Regularities and symmetries of subsets of collective 0+ states

2009-09-05

arxiv.org/abs/0909.0997v2

Phys.Rev.C80:034311,2009

Physics

Nuclear Physics

Nuclear Theory

9 pages, 3 figures, added reference [38]

Scientific paper

10.1103/PhysRevC.80.034311

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.

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