eta and eta' in a coupled Schwinger-Dyson and Bethe-Salpeter approach

Abstract

Extending our earlier treatments of pi0, eta_c and eta_b, we study the eta-eta' system and its gamma-gamma decays using a model which is a leading version of the consistently coupled Schwinger-Dyson (SD) and Bethe-Salpeter (BS) approach. The electromagnetic interactions are incorporated through a (generalized) impulse approximation consistent with this bound-state approach, so that the Ward-Takahashi identities of QED are preserved when quarks are dynamically dressed. To overcome some of the limitations due to the ladder approximation, we introduce a minimal extension to the bound--state approach employed, so that the U_A(1) problem is avoided. Pointing out which of our predictions hold in the coupled SD-BS approach in general, and which are the consequences of the specific, chosen model, we present the results for the axial-current decay constants of eta_8, eta_0, and of their physical combinations eta and eta', the results for the gamma-gamma decay constants of eta_0 and eta_8, for the two-photon decay widths of eta and eta', and for the mixing-independent R-ratio constructed from them.

30 pages, RevTeX, 2 eps figures, title changed, material reorganized, refereces updated; to appear in Phys. Rev. D

References in corpus (3)

• pi- and K-meson Bethe-Salpeter Amplitudes
• Hadron Physics from the Global Color Model of QCD
• Meson properties in an extended nonlocal NJL model

Cited by in corpus (26)

• Infrared Properties of QCD from Dyson-Schwinger equations
• The three-flavor chiral phase structure in hot and dense QCD matter
• Aspects of Hadron Physics
• Bethe-Salpeter equation and a nonperturbative quark-gluon vertex
• Flavour symmetry breaking and meson masses
• Dynamical chiral symmetry breaking and a critical mass
• $\eta$ and ${\eta }^{\prime }$ mesons in the Dyson-Schwinger approach at finite temperature
• Revisiting the U_A(1) problems
• gamma^* gamma -> pi^0 transition and asymptotics of gamma^* gamma and gamma^* gamma^* transitions of other unflavored pseudoscalar mesons
• eta and eta' mesons and dimension 2 gluon condensate <A^2>
• η' Multiplicity and the Witten-Veneziano relation at finite temperature
• Anomalous gamma -> 3 pi amplitude in a bound-state approach
• ${\eta }^{\prime }$ and $\eta$ mesons at high T when the U_A(1) and chiral symmetry breaking are tied
• Application of Jain and Munczek's bound-state approach to gamma gamma-processes of pi0, eta_c and eta_b
• Pseudoscalar Meson Nonet at Zero and Finite Temperature
• Dynamical SU(3) linear sigma model and the mixing of eta'-eta and sigma-f_0 mesons
• eta and eta' in a coupled Schwinger-Dyson and Bethe-Salpeter approach. II. The gamma^* gamma transition form factors
• A $U_A(1)$ symmetry restoration scenario supported by the generalized Witten-Veneziano relation and its analytic solution
• Pseudoscalar qqbar mesons and effective QCD coupling enhanced by <A^2> condensate
• U_A(1) Symmetry Breaking and eta, eta prime mesons in the Bethe-Salpeter Approach
• $\eta$ and ${\eta }^{\prime }$ mesons in the Dyson-Schwinger approach using a generalization of the Witten-Veneziano relation
• A Dyson-Schwinger model beyond isospin limit prepared for investigating U_A(1)-breaking temperature dependence
• Pion observables calculated in Minkowski and Euclidean spaces with Ansätze for quark propagators
• Aspects of model dependence of eta'-eta complex treated by going beyond the isospin limit
• Phenomenological Schwinger-Dyson approach to eta-eta' mass matrix
• Bypassing the axial anomalies