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Oblate Skyrmions

High Energy Physics - Phenomenology 2010-11-19 v3

Abstract

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 Delta (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 is flatter as one increases I=J whether the size of the soliton is allowed to change or not.

Keywords

Cite

@article{arxiv.hep-ph/9707397,
  title  = {Oblate Skyrmions},
  author = {F. Leblond and L. Marleau},
  journal= {arXiv preprint arXiv:hep-ph/9707397},
  year   = {2010}
}

Comments

9 pages, 2 figures (unchanged), latex (revtex), latest version accepted for publication in Phys.Rev. D