Decay of ψ into η(η')γ and the Mixing of Pseudoscalar Mesons in the QuarkGluon Model
Abstract
We consider the decay widths of ψ to η (η') γ and the mixing parameters between η (η') and η_{C} in the framework of the SU(3)_{C} quarkgluon model. We calculate them in the lowest order perturbation in quarkgluon coupling constant under the assumptions: (i) Among the initial and final quarkantiquark bispinors, only those components which exhibit the transformation property of observed particle under the Lorentz group contribute to the processes, (ii) thus obtained bispinor in the final state is identified with the pseudoscalar field with two possible choices of the proportionality constant, and (iii) the divergence in the integral with respect to the Feynman parameter should be removed by the introduction of binding energy in the parent charmanticharm system. The formulae for these two processes contain the four parameters: The overlap of quark wave functions in η_{C}, the quarkgluon coupling constant at the mass of η, that at the mass of η', and the mass of charmquark M_{C}. The solutions are obtained by comparing the formulae with the phenomenological values of mixing parameters and the data on Γ (ψ to η (η') γ). It is pointed out that, for the decay widths, the contribution of the photon emission from the internal charmquark line is larger than that from the external charmquark line. The predictions for Γ (η_{C} to 2 γ) and Γ (Υ to η γ, η' γ, η_{C} γ) are made.
 Publication:

Progress of Theoretical Physics
 Pub Date:
 August 1981
 DOI:
 10.1143/PTP.66.617
 Bibcode:
 1981PThPh..66..617F