Distribution amplitude for the photon-pion transition
A. Courtoy, S. Noguera
TL;DR
This paper investigates the photon-pion transition distribution amplitude using a covariant Bethe-Salpeter approach within the Nambu-Jona-Lasinio model, revealing a significant enhancement in pion pair production cross sections.
Contribution
It introduces a novel calculation of the photon-pion transition distribution amplitude using a covariant Bethe-Salpeter approach in the NJL model, highlighting the impact of the pion pole contribution.
Findings
Large enhancement of the differential cross section due to pion pole
Improved understanding of exclusive and ho production
Application of Bethe-Salpeter approach to transition distribution amplitudes
Abstract
The exclusive production of \pi\pi and \pi\rho in hard \gamma^{\star}\gamma scattering in the forward kinematical region where the virtual photon is highly off-shell are studied through the \gamma\to\pi^- Transition Distribution Amplitudes. The calculation is based on a covariant Bethe-Salpeter approach, applied to the Nambu - Jona-Lasinio model, for the determination of the pion bound state. In particular it is shown that the pion pole contribution produces a large enhancement of the differential cross section for the pion pair production with respect to previous estimates.
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