$ω-ρ$ Mixing and the $ω\toππγ$ Decay

Abstract

We reexamine the $ω\to π^{0} π^{0} γ$ decay, adding the effect of $ω-ρ$ 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 $Γ($ω\to π^{0} π^{0} γ$) =(390\pm96) {\rm eV}$ and also analyze the effect of the $ω-ρ$ mixing on the $Γ($ω\to π^{0} π^{0} γ$)/ Γ($ω\to π^{+} π^{-} γ$)$ ratio. Several remarks on the effect of $ω-ρ$ mixing on certain radiative decays of vector mesons are presented.