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Revista mexicana de física
versión impresa ISSN 0035-001X
Resumen
GARCIA GUDINO, D. y TOLEDO SANCHEZ, G.. About the inclusion of an infinite number of resonances in anomalous decays. Rev. mex. fis. [online]. 2014, vol.60, n.2, pp.123-128. ISSN 0035-001X.
The usual procedure to extract the geƒƒωpπ 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 gωρπ = 8.3 ± 0.8 GeV-1, which is about 40% smaller than the effective geƒƒωpπ. 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 AVMDγ3π= (3/2)AWZWγ3π, 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.
Palabras llave : Strong decays; vector mesons; effective couplings.