Determination of $η\toπ^+π^-π^0$ Dalitz plot slopes and asymmetries with the KLOE detector

Abstract

We have studied, with the KLOE detector at the DA$Φ$NE $Φ$-Factory, the dynamics of the decay $η\toπ^+π^-π^0$ using $η$ mesons from the decay $ϕ\toηγ$ 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 $π^+π^-π^0$ slopes to that for $η\to 3π^0$ showing the consistency of KLOE results for both channels. We also obtain the best confirmation of the $C$-invariance in the $η\toπ^+π^-π^0$ decay.

15 pages, 7 figures