Inelastic and Finite Width Effects on -Meson Propagator and Correction to Radiative Decay of Mesons

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Abstract
Inelastic and finite-width effects to the ρ-meson propagator are studied in the framework of the Gounaris-Sakurai and Renard approximation of many channel N/D method. For the ρ-meson, the finite-width factor is substantially modified by the A1 π closed channel essentially due to the large Γρ→2 π, the large ρA1 π coupling and the S-wave behaviour of ρ→A1 π process. By using the recently reported experimental data on the process ρ- →π- γ, it is pointed out that the experimental ratios Γω→πγ/ Γρ→πγ and Γη' →ργ/ Γη' →ωγ are well reproduced by the vector-meson dominance model if we take account of the finite-width factor.

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