eta and eta' mesons and dimension 2 gluon condensate <A^2>

Abstract

The study of light pseudoscalar quark-antiquark bound states in the Dyson-Schwinger approach with the effective QCD coupling enhanced by the interplay of the dimension 2 gluon condensate <A^2> and dimension 4 gluon condensate <F^2>, is extended to the eta-eta' complex. We include the effects of the gluon axial anomaly into the Dyson-Schwinger approach to mesons. The calculated masses, mixing and two-photon decay widths of eta and eta' mesons are in agreement with experiment. Also, in a model-independent way, we give the modification of the Gell-Mann--Okubo and Schwinger nonet relations due to the interplay of the gluon anomaly and SU(3) flavor symmetry breaking.

15 pages, 2 tables, 1 eps figure, revtex4

Cited by in corpus (18)

• Hadron Properties and Dyson-Schwinger Equations
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• The three-flavor chiral phase structure in hot and dense QCD matter
• Composition of the Pseudoscalar Eta and Eta' Mesons
• Flavour symmetry breaking and meson masses
• $\eta$ and ${\eta }^{\prime }$ mesons in the Dyson-Schwinger approach at finite temperature
• Quantum properties of a non-Abelian gauge invariant action with a mass parameter
• η' Multiplicity and the Witten-Veneziano relation at finite temperature
• ${\eta }^{\prime }$ and $\eta$ mesons at high T when the U_A(1) and chiral symmetry breaking are tied
• Pseudoscalar Meson Nonet at Zero and Finite Temperature
• Measurement of the eta-Meson Mass using psi(2S) --> eta J/psi
• A $U_A(1)$ symmetry restoration scenario supported by the generalized Witten-Veneziano relation and its analytic solution
• Measurement of the eta'-meson mass using J/psi--> gamma eta'
• $\eta$ and ${\eta }^{\prime }$ mesons in the Dyson-Schwinger approach using a generalization of the Witten-Veneziano relation
• Axial anomaly and the triality symmetry of leptons and hadrons
• 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