0 ω − ρ Mixing and the ω → ππγ Decay

We reexamine the ω → π0 π0 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 → π0 π0 γ ) = (390 ± 96)eV and also analyze the effect of the ω − ρ mixing on the Γ(ω → π0 π0 γ )/Γ(ω → π+ π γ ) ratio. Several remarks on the effect of ω − ρ mixing on certain radiative decays of vector mesons are presented. PACS number(s): 12.39.Fe, 13.20.Jf, 12.40.Vv The radiative decays of mesons is a subject of continuos interest on both the experimental and theoretical planes since the early sixties. The main effort has been directed firstly to the magnetic dipole transitions V → Pγ, P → V γ, where P, V belong to the lowest multiplets of vector (V ) and pseudoscalar mesons (P ). A large variety of theoretical models has been employed to treat these transitions, like quark models, bag models, effective Lagrangian approaches, potential models, sum rules and other (Refs. [1–4] provide a comprehensive and complementary list of references). Recentely, the interest has focused on such transitions in the sector of the heavy mesons, i.e. B → B γ , D → Dγ . Here again the models mentioned above have been used, this time in combination with heavy quark effective theories E-mail addresses: 1 [email protected] 2 [email protected]