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

Yongseok Oh; Hungchong Kim

doi:10.1103/PhysRevD.68.094003

paper

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

arXiv:hep-ph/0307286 · doi:10.1103/PhysRevD.68.094003

Abstract

The role of higher meson resonances with spin 1 and 2 is investigated quantitatively in the decay processes of $ρ \to π^{0} π^{0} γ$ and $ω \to π^{0} π^{0} γ$ . Among the higher resonances, we find that the $f_{2} (1270)$ tensor meson can give a nontrivial contribution especially to the $ω \to π^{0} π^{0} γ$ 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 $ω \to π^{0} π^{0} γ$ decay. The dependence of the decay widths on various models for the $ρ$ - $ω$ mixing in the literature is also investigated.

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

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

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