Ladder Dyson-Schwinger calculation of the anomalous gamma-3pi form factor

Abstract

The anomalous processes, γ\to 3 πand γπ\to ππ, are investigated within the Dyson-Schwinger framework using the rainbow-ladder approximation. Calculations reveal that a complete set of ladder diagrams beyond the impulse approximation are necessary to reproduce the fundamental low-energy theorem for the anomalous form factor. Higher momentum calculations also agree with the limited form factor data and exhibit the same resonance behavior as the phenomenological vector meson dominance model.

9 pages, 8 .eps figures, Revtex

References in corpus (3)

• Dyson-Schwinger equations: a tool for hadron physics
• Strong Decays of Light Vector Mesons
• QCD based quark description of pi-pi scattering up to the sigma and rho region

Cited by in corpus (21)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Infrared Properties of QCD from Dyson-Schwinger equations
• 50 Years of Quantum Chromodynamics
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Aspects and consequences of a dressed-quark-gluon vertex
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Survey of nucleon electromagnetic form factors
• QCD modeling of hadron physics
• B- to light-meson transition form factors
• Off-shell persistence of composite pions and kaons
• Elucidating the effect of intermediate resonances in the quark interaction kernel on the time-like electromagnetic pion form factor
• Solving the Bethe-Salpeter equation for a pseudoscalar meson in Minkowski space
• Tensor Glueball Photoproduction and Decay
• eta and eta' mesons and dimension 2 gluon condensate <A^2>
• Current quark mass dependence of nucleon magnetic moments and radii
• Light-quarkonium spectra and orbital-angular-momentum decomposition in a Bethe-Salpeter-equation approach
• Meson and tetra-quark mixing
• The omega rho pi coupling in the VMD model revisited
• Timelike form factor for the anomalous process ${\gamma }^{\ast }\pi \to \pi \pi$
• Axial anomaly and the interplay of quark loops with pseudoscalar and vector mesons in the gamma* --> pi+ pi0 pi- process
• Transition form-factor of $\gamma \to 3\pi$ in nonlocal quark model