Amplitudes for the analysis of the decay $J/\ddot{I}ˆ\to K^{+}{K}^{-}\ddot{I}{€}^0$

Abstract

We construct an analytical model for two channel, two-body scattering amplitudes, and then apply it in the description of the three-body $J/\ddot{I}ˆ\to K^{+}{K}^{-}\ddot{I}{€}^0$ 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 $K\ddot{I}€$ channel in $J/\ddot{I}ˆ$ decays seems to differ from that observed in direct $K\ddot{I}€$ production, while the mass distribution in the $K\bar{K}$ channel may be compatible.