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

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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9 pages, 8 .eps figures, Revtex

Scientific paper

10.1103/PhysRevD.68.036006

The anomalous processes, \gamma \to 3 \pi and \gamma \pi \to \pi\pi, 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.

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