Amplitudes for the analysis of the decayJ/ψ→K+K−π0

Abstract

We construct an analytical model for two-channel, two-body scattering amplitudes, and then apply it in the description of the three-body $J/\ensuremath{\psi}\ensuremath{\rightarrow}{K}^{+}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{0}$ decay. In the construction of the partial wave amplitudes, we combine the low-energy resonance region with the Regge asymptotic behavior determined from direct two-body production. We find that resonance production in the $K\ensuremath{\pi}$ channel in $J/\ensuremath{\psi}$ decays seems to differ from that observed in direct $K\ensuremath{\pi}$ production, while the mass distribution in the $K\overline{K}$ channel may be compatible.