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Minimal Boosting of SU(6) Scheme

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DOI: 10.1143/PTP.57.210
OAI: oai:inspirehep.net:4873
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INSPIRE-HEP
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Abstract

A new formulation for relativistic generalization of the SU(6) scheme is presented, and new unified equations for spin 1/2 and 3/2 baryons and for spin 0 and 1 mesons are also derived. A characteristic feature of our scheme is that relativistic covariance is guaranteed only for hadrons as a whole, but not for “constituent quarks”, contrasting with the case of Ũ(12) scheme where it is guaranteed for each “constituent”, too. Reflecting this, our wave functions have a minimal number of components, and our scheme may be called the “minimally boosted SU(6)” scheme. Formulas for bilinear convariants, which may be useful for actual applications, are given. As a result of application of “our relativistic quark model” to e.m., interactions, we get interesting form factors for nucleons and pions with desirable asymptotic behavior, ∝(q^2)^-2 and (q^2)^-1, respectively.

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