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 $J/ψ→K^+K^−π^0$ 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 $Kπ$ channel in $J/ψ$ decays seems to differ from that observed in direct $Kπ$ production, while the mass distribution in the $K\overline{K}$ channel may be compatible.