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Pion-photon transition distribution amplitudes in the Nambu-Jona-Lasinio model

AuthorsCourtoy, Aurore; Noguera, Santiago
KeywordsGeneralized Parton distributions
Virtual Compton-scattering
[PACS] Photon and charged-lepton interactions with hadrons
[PACS] Bound and unstable states; Bethe-Salpeter equations
[PACS] Other nonperturbative calculations in QCD
[PACS] Relativistic models of nuclei
Issue Date28-Nov-2007
PublisherAmerican Physical Society
CitationPhysical Review D 76(9): 094026 (2007)
AbstractWe define the pion-photon transition distribution amplitudes (TDA) in a field theoretic formalism from a covariant Bethe-Salpeter approach for the determination of the bound state. We apply our formalism to the Nambu-Jona-Lasinio model, as a realistic theory of the pion. The obtained vector and axial TDAs satisfy all features required by general considerations. In particular, sum rules and the polynomiality condition are explicitly verified. We have numerically proved that the odd coefficients in the polynomiality expansion of the vector TDA vanish in the chiral limit. The role of PCAC and the presence of a pion pole are explicitly shown.
Description12 pages, 6 figures.-- PACS nrs.: 13.60.-r; 11.10.St; 12.38.Lg; 24.10.Jv.-- ISI Article Identifier: 000251327200049.-- ArXiv pre-print available at: http://arxiv.org/abs/0707.3366
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevD.76.094026
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