The role of P-wave inelasticity in J/psi to pi+pi-pi0
Peng Guo, Ryan Mitchell, Adam P. Szczepaniak
TL;DR
This paper investigates how P-wave inelasticity, mainly from KK to pi pi rescattering, influences the Dalitz distribution in J/psi decays to three pions, providing an analytical model and comparing it with experimental data.
Contribution
It introduces a new analytical two-channel scattering model to account for P-wave inelasticity in J/psi decay analysis.
Findings
Inelasticity becomes significant above 1.4 GeV in pi pi mass.
The model successfully describes the Dalitz distribution.
Comparison with data shows good agreement.
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.
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