Radiative Meson Decays in a Quark-Oscillator Model

One- and two-photon decays of meson resonances are calculated in a quark-oscillator model using a nonrelativistic interaction Hamiltonian and vector dominance. Harmonic-oscillator wave functions are assumed for $l=0\mathrm{}$ and $l=1\mathrm{}$ resonances (e.g., $\pi$, $\rho$ and $A_2$, $f$, respectively). The calculations in general are sensitive to the value of the well-width parameter ${\alpha }^2$. Good agreement with experiment is obtained for decays of low-lying states (such as ${\pi }^0$ and $\eta$) and for the decay $A_2^{\pm }\to {\pi }^{\pm }+\gamma \left[\Gamma \right(\mathrm{predicted})=0.4-0.6\mathrm{} \mathrm{MeV}]$. The calculated width for the decay $f\left(1260\right)\mathrm{}\to \gamma \gamma$ is less than that predicted by Kunzst et al., on the basis of a phenomenological Lagrangian by a factor of 3 or more.