Higher meson resonances in $ρ\to π^0 π^0 γ$ and $ω\to π^0 π^0 γ$

Details Higher meson resonances in $ρ\to π^0 π^0 γ$ and $ω\to π^0 π^0 γ$ Higher meson resonances in $ρ\to π^0 π^0 γ$ and $ω\to π^0 π^0 γ$

2003-07-23

arxiv.org/abs/hep-ph/0307286v2

Phys.Rev. D68 (2003) 094003

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, REVTeX, 6 figures, revised version, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.68.094003

The role of higher meson resonances with spin 1 and 2 is investigated quantitatively in the decay processes of $\rho \to \pi^0\pi^0 \gamma$ and $\omega \to \pi^0 \pi^0 \gamma$. Among the higher resonances, we find that the $f_2(1270)$ tensor meson can give a nontrivial contribution especially to the $\omega \to \pi^0 \pi^0 \gamma$ decay process. When the $f_2$ contribution is combined with the processes involving the vector and scalar meson intermediate states, a good agreement with the recent measurements is achieved for both decays. The effect of the $f_2(1270)$ is found to be sizable at the intermediate photon energies and may be verified by precise measurements of the recoil photon spectrum of the $\omega \to \pi^0 \pi^0 \gamma$ decay. The dependence of the decay widths on various models for the $\rho$-$\omega$ mixing in the literature is also investigated.

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