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.
Similar content being viewed by others
References
CERN Theory Boson Workshop, CERN-Preprint TH 1964 Harari, H.: ψ-chology, SLAC informal notes Schildknecht, D.: DESY-Preprint 75/13 and references quoted therein
Bars, I., Peccei, R.D.: Phys. Rev. Letters34, 985 (1975)
Marinescu, S., Stech, B.: Heidelberg-Preprint (1974)
Krammer, M., Schildknecht, D., Steiner, F.: Phys. Rev. D12, 139 (1975)
Harari, H.: Talk given at the SLAC conference, August 1975
Stech, B.: Lectures given at the Hamburg Summer School, September 1975
Steiner, F.: Contributed paper to the Palermo Conference, July 1975
Sandra, A. I., Terazawa, H.: Phys. Rev. Letters34, 1405 (1975) Tsai, S.Y.: Phys. Rev. Letters35, 1062
Feldman, G., Matthews, P.T.: Phys. Rev. Letters35, 344 (1975) Bars, I., Peccei, R.D.: Phys. Rev. D, to be published
Author information
Authors and Affiliations
Additional information
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.
Rights and permissions
About this article
Cite this article
Gampp, W., Genz, H. Masses of colored vector mesons. Z Physik A 277, 89–97 (1976). https://doi.org/10.1007/BF01547507
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01547507