Dalitz plot analysis of three-body Charmonium Decays at BaBar

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

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