Anomalous gamma -> 3 pi amplitude in a bound-state approach

TL;DR

This paper calculates the gamma pi^+ -> pi^+ pi^0 form factor using a bound-state approach and compares it with other models and experimental data, providing insights into anomalous processes in particle physics.

Contribution

It introduces a Schwinger-Dyson based bound-state calculation for the anomalous gamma to 3 pi amplitude, offering a novel theoretical perspective.

Findings

Calculated form factors align with some experimental data

Comparison shows differences with quark loop and vector meson dominance models

Provides a new theoretical framework for anomalous gamma processes

Abstract

The form factor for the anomalous process gamma pi^+ -> pi^+ pi^0, which is presently being measured at CEBAF, is calculated in the Schwinger-Dyson approach in conjunction with an impulse approximation. The form factors obtained by us are compared with the ones predicted by the simple constituent quark loop model, vector meson dominance and chiral perturbation theory, as well as the scarce already available data.