Measurement of the Slope Parameter $\alpha$ for the $\eta \to 3{\pi }^0$ decay with the Crystal Ball detector at the Mainz Microtron (MAMI-C)

Abstract

The dynamics of the $\eta \to 3{\pi }^0$ decay have been studied with the Crystal Ball multiphoton spectrometer and the TAPS calorimeter. Bremsstrahlung photons produced by the 1.5-GeV electron beam of the Mainz microtron MAMI-C and tagged by the Glasgow photon spectrometer were used for $\eta$-meson production. The analysis of $3\times 10^6$ $\gamma p\to \eta p\to 3{\pi }^{0}p\to 6\gamma p$ events yields the value $\alpha =-0.032\pm 0.003$ for the $\eta \to 3{\pi }^0$ slope parameter, which agrees with the majority of recent experimental results and has the smallest uncertainty. The ${\pi }^0{\pi }^0$ invariant-mass spectrum was investigated for the occurrence of a cusplike structure in the vicinity of the ${\pi }^{+}{\pi }^{-}$ threshold. The observed effect is small and does not affect our measured value for the slope parameter.

References in corpus (5)

• Upgrade of the Glasgow photon tagging spectrometer for Mainz MAMI-C
• $\eta \to 3\pi$ at Two Loops In Chiral Perturbation Theory
• Electromagnetic corrections in eta --> 3 pi decays
• Cusps in K_L --> 3 pi decays
• Determination of the Dalitz plot parameter alpha for the decay eta->3pi^0 with the Crystal Ball at MAMI-B

Cited by in corpus (41)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Physics with the KLOE-2 experiment at the upgraded DA$\varphi$NE
• Study of the gp-->etap reaction with the Crystal Ball detector at the Mainz Microtron(MAMI-C)
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Analytical dispersive construction of $\eta \to 3\pi$ amplitude: First order in isospin breaking
• Three-body Final State Interaction in $\eta \to 3\pi$
• Coupled-channel approach in hadron-hadron scattering
• Photoproduction of the $\omega$ meson off the proton near threshold
• The decay $\eta \to 3\pi$: study of the Dalitz plot and extraction of the quark mass ratio $Q$
• Study of $\eta$ and ${\eta }^{\prime }$ photoproduction at MAMI
• Extended chiral Khuri-Treiman formalism for $\eta \to 3\pi$ and the role of the $a_0(980)$, $f_0(980)$ resonances
• Measurement of the omega -> pi^0 e^+e^- and eta -> e^+e^-g Dalitz decays with the A2 setup at MAMI
• Determination of the Dalitz plot parameter alpha for the decay eta->3pi^0 with the Crystal Ball at MAMI-B
• A new determination of the eta transition form factor in the Dalitz decay eta -> e^+ e^- gamma with the Crystal Ball/TAPS detectors at the Mainz Microtron
• Measurement of pi^0 photoproduction on the proton at MAMI C
• Accurate Test of Chiral Dynamics in the \boldmath$\vec{\gamma }p\to {\pi }^{0}p$ Reaction
• Study of the gamma p --> pi0 pi0 p reaction with the Crystal Ball/TAPS at the Mainz
• The cusp effect in eta' --> eta pi pi decays
• Measurement of the transverse target and beam-target asymmetries in $\eta$ meson photoproduction at MAMI
• Photoproduction of pi0pi0 and pi0pi+-pairs off the proton from threshold to the second resonance region
• Measurement of the pi^0 -> e^+e^-gamma Dalitz decay at the Mainz Microtron
• Measurement of the $\eta \to 3{\pi }^0$ slope parameter $\alpha$ with the KLOE detector
• Measurement of the $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ Dalitz plot distribution
• A new measurement of the rare decay eta -> pi^0 gamma gamma with the Crystal Ball/TAPS detectors at the Mainz Microtron
• Measurement of the g p -> K^0 Sigma^+ reaction with the Crystal Ball/TAPS detectors at the Mainz Microtron
• Experimental study of the $\gamma p\to K^0{\Sigma }^{+}$, $\gamma n\to K^0\Lambda$, and $\gamma n\to K^0{\Sigma }^0$ reactions at the Mainz Microtron
• Study of the $\gamma p\to {\pi }^0\eta p$ reaction with the A2 setup at MAMI
• High-statistics measurement of the eta->3pi^0 decay at the Mainz Microtron
• An overview of $\eta$ and ${\eta }^{\prime }$ decays at BESIII
• 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
• eta and eta' Physics at MAMI
• Precision measurement of the matrix elements for $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $\eta \to {\pi }^0{\pi }^0{\pi }^0$ decays
• Measurement of the decay ${\eta }^{\prime }\to {\pi }^0{\pi }^0\eta$ at MAMI
• Status of Strong ChPT
• Evidence for the Cusp Effect in ${\eta }^{\prime }$ Decays into $\eta {\pi }^0{\pi }^0$
• Experimental study of $\eta$ meson photoproduction reaction at MAMI
• Measurement of the beam-helicity asymmetry in photoproduction of ${\pi }^0\eta$ pairs on carbon, aluminum, and lead
• Chiral perturbation theory in the meson sector
• New high-statistics measurement of the ${\pi }^0\to e^{+}{e}^{-}\gamma$ Dalitz decay at the Mainz Microtron
• Electromagnetic effects in eta --> 3 pi