ω-ρ mixing and theω→ππγdecay

We reexamine the $\overrightarrow{\omega }{\pi }^0{\pi }^0\gamma$ decay, adding the effect of $\omega -\rho$ mixing to the amplitude calculated with the aid of chiral perturbation theory and vector meson dominance. We predict the neutral decay to occur with a width of $\Gamma \left(\overrightarrow{\omega }{\pi }^0{\pi }^0\gamma \right)=(390\mathrm{}\pm 96)$ eV and also analyze the effect of the ω-ρ mixing on the $\Gamma \left(\overrightarrow{\omega }{\pi }^0{\pi }^0\gamma \right)/\Gamma \left(\overrightarrow{\omega }{\pi }^{+}{\pi }^{-}\gamma \right)$ ratio. Several remarks on the effect of $\omega -\rho$ mixing on certain radiative decays of vector mesons are presented.