Dalitz plot analysis of three-body Charmonium Decays at BaBar

TL;DR

This paper analyzes three-body Charmonium decays using Dalitz plot techniques to measure the $K \, \pi$ S-wave and study decay dynamics in $\, \eta_c$ and $J/\psi$ decays, providing insights into hadronic interactions.

Contribution

It introduces a model-independent partial wave analysis of $\, \eta_c$ decays and performs Dalitz plot analysis of $J/\psi$ decays, advancing understanding of decay mechanisms.

Findings

Measurement of the $K \pi$ $\mathcal{S}$-wave in $\, \eta_c$ decays.

Dalitz plot analysis of $J/\psi$ decays to three mesons.

Insights into the decay dynamics of Charmonium states.

Abstract

We present preliminary results on the measurement of the I=1/2 $K \pi$ $\mathcal{S}$-wave through a model independent partial wave analysis of $\eta_c$ decays to $K^0_S K^+ \pi^-$ and $K^+ K^- \pi^0$ produced in two-photon interactions. We also perform a Dalitz plot analysis of the $J/\psi$ decays to $\pi^+ \pi^- \pi^0$ and $K^+ K^- \pi^0$ produced by the initial state radiation process.