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Flavor symmetry and mass-splitting formulas for the sub-SU(3) Skyrmion in SU(N)

Guo-Wei Wu and Mu-Lin Yan*

Keh-Fei Liu

  • Center of Theoretical Physics, Chinese Center of Advanced Science and Technology (World Laboratory), Fundamental Physics Center, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China

  • Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506

  • *On leave from Fundamental Physics Center, University of Science and Technology of China, Hefei, Anhui, P. R. China.
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Phys. Rev. D 43, 185 – Published 1 January, 1991

DOI: https://doi.org/10.1103/PhysRevD.43.185

Abstract

New mass-splitting formulas for the octet and decuplet baryons are obtained in the sub-SU(3) Skyrme model in SU(N) with N=3 to 8 by the perturbative treatment. The higher-order-term contributions to the perturbative expansions are examined. We find that N=5 or 6 makes the mass spectrum most compatible with data. They are much better than the pure SU(3) model. Some useful Clebsch-Gordan coefficients of SU(N) with N=3, 4, 5, 6, 7, and 8 are calculated and listed.

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Phys. Rev. D 43, 185– Published 1 January, 1991
  • Received 4 May 1990

© 1991 American Physical Society

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