Unified description of hadron-photon and hadron-meson scattering in the Dyson-Schwinger approach

Abstract

We derive the expression for the nonperturbative coupling of a hadron to two external currents from its underlying structure in QCD. Microscopically, the action of each current is resolved to a coupling with dressed quarks. The Lorentz structure of the currents is arbitrary and thereby allows to describe the hadron's interaction with photons as well as mesons in the same framework. We analyze the ingredients of the resulting four-point functions and explore their potential to describe a variety of processes relevant in experiments. Possible applications include Compton scattering, the study of two-photon effects in hadron form factors, pion photo- and electroproduction on a nucleon, nucleon-pion or pion-pion scattering.

15 pages, 6 figures

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• Explanation and Prediction of Observables using Continuum Strong QCD
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• Recent developments in bound-state calculations using the Dyson-Schwinger and Bethe-Salpeter equations
• Nucleon to Delta electromagnetic transition in the Dyson-Schwinger approach
• Quark Wigner distributions in a light-cone spectator model
• On the large-Q^2 behavior of the pion transition form factor
• Nucleon Compton scattering in the Dyson-Schwinger approach
• Elucidating the effect of intermediate resonances in the quark interaction kernel on the time-like electromagnetic pion form factor
• The role of momentum dependent dressing functions and vector meson dominance in hadronic light-by-light contributions to the muon g-2
• Excited hadrons and the analytical structure of bound-state interaction kernels
• Nucleon resonances in Compton scattering
• Going to the light front with contour deformations
• Models of $J/\Psi$ photo-production reactions on the nucleon
• Timelike form factor for the anomalous process ${\gamma }^{\ast }\pi \to \pi \pi$
• Six-dimensional light-front Wigner distributions of the proton
• Baryon form factors from Dyson-Schwinger equations
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