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General SU(3) Particle Mixing Among Mesons in SU(3) Sum Rules

T. Laankan and S. Oneda

Seisaku Matsuda

  • Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

  • Department of Physics, Polytechnic Institute of Brooklyn, Brooklyn, New York 11201

Phys. Rev. D 8, 4076 – Published 1 December, 1973

DOI: https://doi.org/10.1103/PhysRevD.8.4076

Abstract

The features of general SU(3) particle mixing among mesons are studied in the framework of asymptotic SU(3), chiral SU(3) ⊗ SU(3) charge algebra, and the hypothesis of asymptotic level realization of SU(3) in the algebra [Ai, Aj]=ifijkVk. In the level scheme of a simple quark model, our framework requires that the mixings between the corresponding members of two nonets with the same JPC but different L excitations should take place in such a way that their net effect disappears from the SU(3) sum rules, leaving the previously obtained nonet structure of bosons intact. We thus need to consider, in effect, only the usual mixings between the I=Y=0 members of each nonet (with the same L) and also, less importantly, the mixings between the I=12 members of two nonets with the same JP and L but opposite C. These mixing parameters are fixed in our theoretical framework.

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