Abstract
Mass formulas for colored vector mesons are derived under the assumption of one common mixing angle forSU(3)′, independent of the color quantum numbers, and correspondingly one common mixing angle (ϑ″) forSU(3)″. This a priori plausible assumption turns out to have strong implications and thus might be too restrictive. We allow for a non-trivial spatial overlap integralρ between color-singlet and color-octet states. Various cases are treated and physical possibilities are identified. The best agreement is obtained for ϑ″ = 0. There are two models of this type with and without a part of the symmetry breaking Hamiltonian density transforming as (Y, Y) underSU(3)′⊗SU(3)″. Models with ϑ″ ≠ 0 are also possible. They cannot have a (Y, Y) and predict 3.34 GeV as the mass of theψ′ (3.7). This error of 10% may however be used to reject this possibility. Masses of colored vector mesons are predicted in the various models. If a (Y, Y) is present, ideal mixing inSU (3)′ is implied by the general formalism of the model.
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We would like to thank K. Koller, B. Stech and F. Steiner for interesting discussions. Part of the work was done during two visits of one of the authors (H.G.) to DESY. He would like to thank G. Weber and the DESY theory group for their kind hospitality.
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Gampp, W., Genz, H. Masses of colored vector mesons. Z Physik A 277, 89–97 (1976). https://doi.org/10.1007/BF01547507
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DOI: https://doi.org/10.1007/BF01547507