Two-photon processes of pseudoscalar mesons in a Bethe-Salpeter approach

Abstract

We evaluate the ${\pi }^0{\gamma }^{\ast }\to \gamma$ transition form factor and $\gamma \gamma$ decay widths for ${\pi }^0,{\eta }_c$ and ${\eta }_b$ treated as $q\bar{q}$ bound states in the Bethe-Salpeter formalism, incorporating the dynamical chiral symmetry breaking and the Goldstone nature of the pion. In the chiral limit, the Abelian axial anomaly is incorporated analytically in our coupled Schwinger-Dyson and Bethe-Salpeter approach, which is also capable of quantitatively describing systems of heavy quarks, concretely ${\eta }_c$ and possibly ${\eta }_b$.

RevTeX style, 15 pages, 1 PS figures, uses epsf.sty, minor revisions of the text, small additions to the table and to one figure, comments on new references

References in corpus (3)

• Two-Photon Decays of Mesons in a Relativistic Quark Model
• Electromagnetic Form Factors of Charged and Neutral Kaons
• Off-Shell Axial Anomaly via the γ^* π^0 -> γTransition

Cited by in corpus (17)

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• eta and eta' in a coupled Schwinger-Dyson and Bethe-Salpeter approach
• 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>
• Anomalous gamma -> 3 pi amplitude in a bound-state approach
• Application of Jain and Munczek's bound-state approach to gamma gamma-processes of pi0, eta_c and eta_b
• The UA(1) problem and the role of correlated q qbar exchange in effective theories of QCD
• eta and eta' in a coupled Schwinger-Dyson and Bethe-Salpeter approach. II. The gamma^* gamma transition form factors
• Temperature Dependence of the Axion Mass in a Scenario Where the Restoration of Chiral Symmetry Drives the Restoration of the $U_A(1)$ Symmetry
• Pseudoscalar qqbar mesons and effective QCD coupling enhanced by <A^2> condensate
• Pion observables calculated in Minkowski and Euclidean spaces with Ansätze for quark propagators
• Partial wave analysis for the in-hadron condensate
• Phenomenological Schwinger-Dyson approach to eta-eta' mass matrix