Amplitudes for the analysis of the decay $J/ψ→K^+K^−π^0$

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/ψ→K+K−π0 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 Kπ channel in J/ψ decays seems to differ from that observed in direct Kπ production, while the mass distribution in the KK― channel may be compatible.