$ω-ρ$ Mixing and the $ω\toππγ$ Decay

Details $ω-ρ$ Mixing and the $ω\toππγ$ Decay $ω-ρ$ Mixing and the $ω\toππγ$ Decay

2000-05-06

arxiv.org/abs/hep-ph/0005059v2

Phys.Rev. D63 (2001) 017502

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.63.017502

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 $\Gamma($\omega \to \pi^{0} \pi^{0} \gamma $) =(390\pm96) {\rm eV}$ and also analyze the effect of the $\omega-\rho$ mixing on the $\Gamma($\omega \to \pi^{0} \pi^{0} \gamma $)/ \Gamma($\omega \to \pi^{+} \pi^{-} \gamma $)$ ratio. Several remarks on the effect of $\omega-\rho$ mixing on certain radiative decays of vector mesons are presented.

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