Amplitudes for the analysis of the decay $J/\psi \to K^{+} K^{-} \pi^0$

TL;DR

This paper develops an analytical model for two-channel scattering amplitudes and applies it to analyze the decay of J/psi into K+ K- pi0, revealing differences in resonance production compared to direct production.

Contribution

It introduces a combined model for low energy resonances and Regge asymptotics applied to three-body J/psi decay analysis.

Findings

Resonance production in Kπ channel differs from direct production.

Mass distribution in K K̄ channel may be compatible with direct production.

Model successfully describes decay amplitudes across energy ranges.

Abstract

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