No Arabic abstract
A violation of mirror symmetry in the $etatopi^+pi^-pi^0$ Dalitz plot has long been recognized as a signal of C and CP violation. Here we show how the isospin of the underlying C- and CP-violating structures can be reconstructed from their kinematic representation in the Dalitz plot. Our analysis of the most recent experimental data reveals, for the first time, that the C- and CP-violating amplitude with total isospin $I=2$ is much more severely suppressed than that with total isospin $I=0$.
Dalitz plot distribution of the $etatopi^+pi^-pi^0$ decay is determined using a data sample of $1.2cdot 10^7$ $eta$ mesons from $pdto ^3textrm{He}eta$ reaction at 1 GeV collected by the WASA detector at COSY.
Using $1.6$ fb$^{-1}$ of $e^+ e^-tophitoetagamma$ data collected with the KLOE detector at DA$Phi$NE, the Dalitz plot distribution for the $eta to pi^+ pi^- pi^0$ decay is studied with the worlds largest sample of $sim 4.7 cdot 10^6$ events. The Dalitz plot density is parametrized as a polynomial expansion up to cubic terms in the normalized dimensionless variables $X$ and $Y$. The experiment is sensitive to all charge conjugation conserving terms of the expansion, including a $gX^2Y$ term. The statistical uncertainty of all parameters is improved by a factor two with respect to earlier measurements.
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.
We have studied, with the KLOE detector at the DA$Phi$NE $Phi$-Factory, the dynamics of the decay $etatopi^+pi^-pi^0$ using data from the radiative $phitoetagamma$ decay for an integrated luminosity $L = 450 textrm{pb^{-1}}$. From a fit to the Dalitz plot density distribution we obtain a precise measurement of the slope parameters. This should allow to improve the knowledge of the decay amplitude which is sensitive to the u-d quark mass difference. We also present new best results on the C-violating asymmetries in the $etatopi^+pi^-pi^0$ decay.
Using a low-background sample of $2.6times 10^5$ $J/psirightarrowomegaeta(omegarightarrowpi^{+}pi^{-}pi^{0},etarightarrowgammagamma)$ events, about 5 times larger statistics than previous experiments, we present a Dalitz plot analysis of the decay $omegarightarrowpi^{+}pi^{-}pi^{0}$. It is found that the Dalitz plot distribution differs from the pure $P$-wave phase space with a statistical significance of $18.9sigma$. The parameters from the fit to data are in reasonable agreement with those without the cross-channel effect within the dispersive framework, which indicates that the cross-channel effect in $omegarightarrowpi^+pi^-pi^0$ is not significant.