$\omega -\rho$ Mixing and the $\omega \to \pi \pi \gamma$ Decay

Abstract

We reexamine the $\omega \to {\pi }^0{\pi }^0\gamma$ 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 $\Gamma ($ω\to π^{0} π^{0} γ$)=(390\pm 96)\mathrm{eV}$ and also analyze the effect of the $\omega -\rho$ mixing on the $\Gamma ($ω\to π^{0} π^{0} γ$)/\Gamma ($ω\to π^{+} π^{-} γ$)$ ratio. Several remarks on the effect of $\omega -\rho$ mixing on certain radiative decays of vector mesons are presented.

10 pages, LaTeX, 1 ps-figure. Submitted to Phys. Rev. D

References in corpus (3)

• Radiative decay of rho^0 and phi mesons in a chiral unitary approach
• Radiative Decays, Nonet Symmetry and SU(3) Breaking
• The phi --> gamma K0 bar(K0) Decay

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• VMD, chiral loops, sigma-meson, and omega-rho mixing in omega-->pi^0 pi^0 gamma decay
• Different Contributions in omega pi0etagamma and rho pi0etagamma decays