Abstract
Symmetry-conserving higher order interactions in the SU(3) limit of the interacting boson model remove the degeneracy in the first {beta} and {gamma} band predicted by the original interacting boson model. It is possible, also for the fourth order interactions, to predict this removal using quantities describing odd-even staggering effects. Numerical tests confirm the influence of these interactions on the first bands of SU(3) nuclei.
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