Hadronic eta and eta-prime decays

Abstract

The hadronic decays eta, eta-prime -> 3 pi and eta-prime -> eta pi pi are investigated within the framework of U(3) chiral effective field theory in combination with a relativistic coupled-channels approach. Final state interactions are included by deriving s- and p-wave interaction kernels for meson-meson scattering from the chiral effective Lagrangian and iterating them in a Bethe-Salpeter equation. Very good overall agreement with currently available data on decay widths and spectral shapes is achieved.

arXiv comment28 pages, 5 figures, 8 tables

References in corpus (19)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma ,f_0(980),a_0(980)$ scalar mesons
• Large N_c in chiral perturbation theory
• A sum rule approach to the violation of Dashen's theorem
• Chiral Effective Lagrangian in the large-Nc limit: the nonet case
• Electromagnetic Corrections for Pions and Kaons : Masses and Polarizabilities
• Final State Interactions and Khuri-Treiman Equations in $\eta \to 3\pi$ decays
• Chiral unitary meson-baryon dynamics in the presence of resonances: Elastic pion-nucleon scattering
• eta' to eta pi pi Decay as a Probe of a Possible Lowest-Lying Scalar Nonet
• The Electromagnetic Mass Differences of Pions and Kaons
• Electromagnetic Corrections to the decays $\eta \to 3\pi$
• On the Corrections to Dashen's Theorem
• Study of the Process e+ e- ---> eta gamma in c.m. Energy Range 600-1380 MeV at CMD-2
• Pseudoscalar decay constants at large N_c
• Hadronic decays of eta and eta-prime with coupled channels
• Eta-eta' mixing in U(3) chiral perturbation theory
• U(3) chiral perturbation theory with infrared regularization
• The eta-prime -> eta pi pi decay in U(3) chiral perturbation theory

Cited by in corpus (49)

• Physics with the KLOE-2 experiment at the upgraded DA$\varphi$NE
• $\eta \to 3\pi$ at Two Loops In Chiral Perturbation Theory
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Electromagnetic corrections in eta --> 3 pi decays
• 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)
• Investigation of a0-f0 mixing
• Coupled-channel approach in hadron-hadron scattering
• Rescattering effects in eta {\to} 3pi decays
• Extended chiral Khuri-Treiman formalism for $\eta \to 3\pi$ and the role of the $a_0(980)$, $f_0(980)$ resonances
• Determination of the Dalitz plot parameter alpha for the decay eta->3pi^0 with the Crystal Ball at MAMI-B
• Measurement of the Matrix Elements for the Decays $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $\eta /{\eta }^{\prime }\to {\pi }^0{\pi }^0{\pi }^0$
• The cusp effect in eta' --> eta pi pi decays
• Chiral dynamics predictions for eta' -> eta pi pi
• Dispersion relations for ${\eta }^{\prime }\to \eta \pi \pi$
• How the axial anomaly controls flavor mixing among mesons
• Measurement of the eta->3pi0 Dalitz Plot Distribution with the WASA Detector at COSY
• Measurement of the Matrix Element for the Decay ${\eta }^{\prime }\to \eta {\pi }^{+}{\pi }^{-}$
• Observation of ${\eta }^{\prime }$ decays to ${\pi }^{+}{\pi }^{-}{\pi }^0$ and $π^+π^-\e^+e^-$
• Measurement of the Slope Parameter for the eta->3pi0 Decay in the pp->pp eta Reaction
• eta, eta-prime --> pi+ pi- l+ l- in a chiral unitary approach
• Study of ${\eta }^{\prime }\to \eta {\pi }^{+}{\pi }^{-}$ Dalitz plot
• Signals of the QCD axion with mass of 17 MeV/c^2: nuclear transitions and light meson decays
• Can the nature of $a_0(980)$ be tested in the $D_s^{+}\to {\pi }^{+}{\pi }^0\eta$ decay?
• Predictions for the cusp in eta->3pi0 decay
• The pion-pion Interaction in the rho Channel in Finite Volume
• 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
• Role of the $N^{\ast }$(1535) in the $J/\psi \to \bar{p}\eta p$ and $J/\psi \to \bar{p}{K}^{+}\Lambda$ reactions
• What can we learn about light-meson interactions at electron-positron colliders?
• Measurement of the matrix elements for the decays ${\eta }^{\prime }\to \eta {\pi }^{+}{\pi }^{-}$ and ${\eta }^{\prime }\to \eta {\pi }^0{\pi }^0$
• Determination of $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ Dalitz plot slopes and asymmetries with the KLOE detector
• 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
• ${\eta }^{\prime }\to \eta \pi \pi$ decays in unitarized resonance chiral theory
• Precision measurement of the branching fractions of ${\eta }^{\prime }$ decays
• An overview of $\eta$ and ${\eta }^{\prime }$ decays at BESIII
• $\eta$ and ${\eta }^{\prime }$ Physics at BES-III
• 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
• A note on the determination of light quark masses
• Measurement of the decay ${\eta }^{\prime }\to {\pi }^0{\pi }^0\eta$ at MAMI
• Cross sections for 2-to-1 meson-meson scattering
• Unitarization Technics in Hadron Physics with Historical Remarks
• Cross sections for 2-to-3 meson-meson scattering
• A preliminary analysis of eta' -> eta pi pi in chiral theories
• Scalar mesons in ${\eta }^{\prime }\to 3{\pi }^0,{\pi }^0{\pi }^{+}{\pi }^{-}$ decays
• Novel method for determining the light quark mass ratio using ${\eta }^{\prime }\to \eta \pi \pi$ decays
• On the extraction of the quark mass ratio (m_d - m_u)/m_s from Gamma(eta' -> pi^0 pi^+ pi^-)/Gamma(eta' -> eta pi^+ pi^-)