Relations among the light-cone quark models with the invariant meson mass scheme and the model prediction of theη−η′mixing angle

Abstract

We analyze the relations among the light-cone quark models which are based on the invariant meson mass scheme. We find that the difference from the Jacobi factor in model wave functions is substantially reduced in the numerical predictions for the physical observables once the best fit parameters are chosen. The difference in the choice of radial wave function [e.g., harmonic oscillator (HO) wave function versus power-law wave function] is, however, still appreciable even though the best fit parameters are used. We also observe an excellent agreement between the HO model predictions and the experimental data on the radiative decays of pseudoscalar $\mathrm{}\left(P\right)\mathrm{}$ and vector $\mathrm{}\left(V\right)\mathrm{}$ mesons and $P\to \gamma \gamma$ processes, if we use the constraint obtained by the axial anomaly plus partial conservation of axial-vector current relations and choose the $\eta -{\eta }^{\prime }$ mixing angle ${\theta }_{\mathrm{SU}\mathrm{}\left(3\right)\mathrm{}}$ $\approx -19°.$