Three-Triplet Model with Double SU(3) Symmetry

Phys. Rev. 139, B1006 – Published 23 August 1965
M. Y. Han and Y. Nambu


With a view to avoiding some of the kinematical and dynamical difficulties involved in the single-triplet quark model, a model for the low-lying baryons and mesons based on three triplets with integral charges is proposed, somewhat similar to the two-triplet model introduced earlier by one of us (Y. N.). It is shown that in a U(3) scheme of triplets with integral charges, one is naturally led to three triplets located symmetrically about the origin of I3-Y diagram under the constraint that the Nishijima-Gell-Mann relation remains intact. A double SU(3) symmetry scheme is proposed in which the large mass splittings between different representations are ascribed to one of the SU(3), while the other SU(3) is the usual one for the mass splittings within a representation of the first SU(3).


  • Received 12 April 1965
  • Published in the issue dated August 1965

© 1965 The American Physical Society

Authors & Affiliations

M. Y. Han

  • Department of Physics, Syracuse University, Syracuse, New York

Y. Nambu

  • The Enrico Fermi Institute for Nuclear Studies, and the Department of Physics, The University of Chicago, Chicago, Illinois

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