Amplitude analysis of the anomalous decay ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\gamma$

Abstract

In this paper we perform an amplitude analysis of ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\gamma$ and confront it with the latest BESIII data. Based on the final-state interaction theorem, we represent the amplitude in terms of an Omnés function multiplied by a form factor that corresponds to the contributions from left-hand cuts and right-hand cuts in the inelastic channels. We also take into account the isospin violation effect induced by $\rho -\omega$ mixing. Our results show that the anomaly contribution is mandatory in order to explain the data. Its contribution to the decay width of $\Gamma ({\eta }^{\prime }\to \pi \pi \gamma )$ is larger than that induced by isospin violation. Finally we extract the pole positions of the $\rho$ and $\omega$ as well as their corresponding residues.

arXiv comment12 pages, 5 figures, typos corrected

References in corpus (47)

• ππscattering
• Mixing and Decay Constants of Pseudoscalar Mesons
• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• On the 1/N expansion in chiral perturbation theory
• Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization
• Towards a consistent estimate of the chiral low-energy constants
• B_l4 decays and the extraction of |V_ub|
• Light-by-light scattering sum rules in light of new data
• $K_{l4}$ - Decays Beyond One Loop
• Odd-intrinsic-parity processes within the Resonance Effective Theory of QCD
• omega --> pi0 gamma* and phi --> pi0 gamma* Transition form factors in dispersion theory
• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Measurement of the pseudoscalar mixing angle and ${\eta }^{\prime }$ gluonium content with KLOE detector
• MO analysis of the high statistics Belle results on $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ with chiral constraints
• Comprehensive Amplitude Analysis of $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ and $\overline{K}K$ below 1.5 GeV
• Resonance saturation in the odd-intrinsic parity sector of low-energy QCD
• The hadronic off-shell width of meson resonances
• Anomalous decay and scattering processes of the eta meson
• Different pole structures in line shapes of the $X(3872)$
• Branching fractions of semileptonic $D$ and $D_s$ decays from the covariant light-front quark model
• Calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment
• Model-independent approach to eta -> pi+ pi- gamma and eta' -> pi+ pi- gamma
• Hadron structure in tau -> KKpi nu_tau decays
• One meson radiative tau decays
• Partial wave analyses of J/psi to gamma pi^+ pi^- and gamma pi^0 pi^0
• Three-body Final State Interaction in $\eta \to 3\pi$
• Two photon couplings of the lightest isoscalars from BELLE data
• Omega-phi mixing in chiral perturbation theory
• Consistent high-energy constraints in the anomalous QCD sector
• A Global Treatment Of VMD Physics Up To The $\varphi$: I. $e^{+}{e}^{-}$ Annihilations, Anomalies And Vector Meson Partial Widths
• Rho - omega mixing in chiral perturbation theory
• The branching ratio $\omega \to {\pi }^{+}{\pi }^{-}$ revisited
• On the Nature of X(4260)
• Hadronic D decays involving even-parity light mesons
• Partial waves and large $N_C$ resonance sum rules
• Exclusive Measurement of the eta --> pi+ pi- gamma Decay
• Precise determination of resonance pole parameters through Padé approximants
• Pole analysis on unitarized $SU(3)\times SU(3)$ one loop $\chi$PT amplitudes
• Measurement of Γ(η-> π^+π^-γ)/Γ(η-> π^+π^-π^0) with the KLOE Detector
• Sum rules for light-by-light scattering
• Study of η-η' mixing from radiative decay processes
• Three pseudoscalar meson production in $e^{+}{e}^{-}$ annihilation
• Pole Analysis of Unitarized One Loop $\chi$PT Amplitudes - A Triple Channel Study
• Generating a resonance-like structure in the reaction $B_c\to B_s\pi \pi$
• eta, eta-prime -> pi^+ pi^- gamma with coupled channels
• A study of $\rho -\omega$ mixing in resonance chiral theory
• Pascalutsa-Vanderhaeghen light-by-light sumrule from photon-photon collisions

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