Determination of $etatopi^+pi^-pi^0$ Dalitz plot slopes and asymmetries with the KLOE detector

We have studied, with the KLOE detector at the DA$Phi$NE $Phi$-Factory, the dynamics of the decay $etatopi^+pi^-pi^0$ using $eta$ mesons from the decay $phitoetagamma$ for an integrated luminosity ${mathcal L}$ = 450 pb$^{-1}$. From a fit to the Dalitz plot density distribution we obtain a precise measurement of the slope parameters. An alternative parametrization relates the $pi^+pi^-pi^0$ slopes to that for $etato 3pi^0$ showing the consistency of KLOE results for both channels. We also obtain the best confirmation of the $C$-invariance in the $etatopi^+pi^-pi^0$ decay.