Determination of $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ Dalitz plot slopes and asymmetries with the KLOE detector

Abstract

We have studied, with the KLOE detector at the DA$\Phi$NE $\Phi$-Factory, the dynamics of the decay $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ using $\eta$ mesons from the decay $\varphi \to \eta \gamma$ 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 $\eta \to 3{\pi }^0$ showing the consistency of KLOE results for both channels. We also obtain the best confirmation of the $C$-invariance in the $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ decay.

arXiv comment15 pages, 7 figures

References in corpus (7)

• $\eta \to 3\pi$ at Two Loops In Chiral Perturbation Theory
• Data handling, reconstruction, and simulation for the KLOE experiment
• CP violation in kaon decays
• Hadronic eta and eta-prime decays
• Monte Carlo simulation for radiative kaon decays
• Eta decays at and beyond ${\mathbf{p}}^4$ in Chiral Perturbation Theory
• Strong rescattering in K-> 3pi decays and low-energy meson dynamics

Cited by in corpus (12)

• Analytical dispersive construction of $\eta \to 3\pi$ amplitude: First order in isospin breaking
• Three-body Final State Interaction in $\eta \to 3\pi$
• Rescattering effects in eta {\to} 3pi decays
• Measurement of the Matrix Elements for the Decays $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $\eta /{\eta }^{\prime }\to {\pi }^0{\pi }^0{\pi }^0$
• Predictions for the cusp in eta->3pi0 decay
• Measurement of the $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ Dalitz plot distribution
• Patterns of CP violation from mirror symmetry breaking in the $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ Dalitz plot
• High-statistics measurement of the eta->3pi^0 decay at the Mainz Microtron
• Dispersive construction of two-loop $P\to \pi \pi \pi$ $(P=K,\eta )$ amplitudes
• Patterns of $C$- and $CP$-violation in hadronic $\eta$ and ${\eta }^{\prime }$ three-body decays
• Study of ordered hadron chains with the ATLAS detector
• Precision measurement of the matrix elements for $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $\eta \to {\pi }^0{\pi }^0{\pi }^0$ decays