Investigación

 

About the inclusion of an infinite number of resonances in anomalous decays

 

D. García Gudiño and G. Toledo Sánchez

 

Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, México D.F. 01000, México.

 

Received 16 October 2012.
Accepted 10 December 2013.

 

Abstract

The usual procedure to extract the g^eƒƒ_ωpπ effective coupling from experimental data resumes not only the ρ meson effect but also all its additional radial excitation modes. In this work, we consider a particular form of the spectrum and relations among the couplings to explicitly add the radial excitations of the ρ meson from the ω → π⁰γ and ω → 3π decays. This allows to identify the single g_ωρπ = 8.3 ± 0.8 GeV^-1, which is about 40% smaller than the effective g^eƒƒ_ωpπ. We verify the consistency with the chiral approach in the π⁰ → γγ and γ* → 3π processes, exhibiting the role of each contribution. In particular, we show that for the γ* → 3π decay, the usual relation A^VMD_γ3π= (3/2)A^WZW_γ3π, encodes all the vector contributions and not only the ρ meson one. In addition, we find that there is a strong (accidental) cancelation between the radial excitations and the contact term contributions.

Keywords: Strong decays; vector mesons; effective couplings.

 

PACS: 14.40.Be; 13.25.-k; 12.40.Vv

 

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Acknowledgments

We acknowledge the support of CONACyT-Mexico under grant 128534, and DGAPA-UNAM under grants PAPIIT-IB101012andPAPIIT-IN106913.

 

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