The omega rho pi coupling in the VMD model revisited

Abstract

We determine the value of the ω-ρ- πmesons coupling (g_{ωρπ}), in the context of the vector meson dominance model, from radiative decays, the ω\rightarrow 3πdecay width and the e^+e^- \rightarrow 3πcross section. For the last two observables we consider the effect of either a heavier resonance (ρ'(1450)) or a contact term. A weighted average of the results from the set of observables yields g_{ωρπ} =14.7 \pm 0.1 GeV^{-1} in absence of those contributions, and g_{ωρπ} =11.9 \pm 0.2 GeV^{-1} or g_{ωρπ} =11.7 \pm 0.1 GeV^{-1} when including the ρ' or contact term respectively. The inclusion of these additional terms makes the estimates from the different observables to lay in a more reduced range. Improved measurements of these observables and the ρ'(1450) meson parameters are needed to give a definite answer on the pertinence of the inclusion of this last one in the considered processes.

arXiv comment14 pages, 5 figures. Extended analysis including SND and CMD2 data. References added. Matches published version

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