The role of P-wave inelasticity in J/psi to pi+pi-pi0

Abstract

We discuss the importance of inelasticity in the P-wave pi pi amplitude on the Dalitz distribution of 3pi events in J/psi decay. The inelasticity, which becomes sizable for pi pi masses above 1.4 GeV, is attributed to KK to pi pi rescattering. We construct an analytical model for the two-channel scattering amplitude and use it to solve the dispersion relation for the isobar amplitudes that parametrize the J/psi decay. We present comparisons between theoretical predictions for the Dalitz distribution of 3pi events with available experimental data.

arXiv comment10 pages, 10 figures

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• Dalitz plot analyses of $J/\psi \to {\pi }^{+}{\pi }^{-}{\pi }^0$, $J/\psi \to K^{+}{K}^{-}{\pi }^0$, and $J/\psi \to K_S^0{K}^{\pm }{\pi }^{\mp }$ produced via $e^{+}{e}^{-}$ annihilation with initial-state radiation
• Analytic continuation of Pasquier inversion representation of Khuri-Treiman equation
• A coupled-channel formalism for three-body final state interaction
• Khuri-Treiman analysis of $J/\psi \to {\pi }^{+}{\pi }^{-}{\pi }^0$
• Tunneling time in coupled-channel systems
• Cross sections for 2-to-3 meson-meson scattering
• Dispersive analysis of the $J/\psi \to {\pi }^0{\gamma }^{\ast }$ transition form factor with $\rho$-$\omega$ mixing effects