The spherically symmetric hedgehog ansatz used in the description of the Skyrmion is believed to be inadequate for the rotational states such as the nucleon (I = J = 1/2) and the Δ (I = J = 3/2) due to centrifugal forces. We study here a simple alternative: an oblate spheroidal solution which leads to lower masses for these baryons. As one might expect, the shape of the solution flattens as one increases I = J regardless if the size of the soliton is allowed to change or not.
KeywordsRotational State Rotational Energy Collective Variable Skyrme Model Quadrupole Deformation
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