The Pion-Photon Transition Distribution Amplitudes in the Nambu-Jona Lasinio Model

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dc.creatorCourtoy, A.
dc.creatorNoguera, S.
dc.date2007-07-23
dc.date2007-11-29
dc.date.accessioned2026-07-07T11:18:02Z
dc.date.available2026-07-07T11:18:02Z
dc.descriptionWe 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 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.
dc.description14 pag. and 6 fig, final version (to appear in Phys. Rev. D)
dc.identifierhttps://arxiv.org/abs/0707.3366
dc.identifierhttp://arxiv.org/abs/0707.3366
dc.identifierPhys.Rev.D76:094026,2007
dc.identifierdoi:10.1103/PhysRevD.76.094026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193210
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe Pion-Photon Transition Distribution Amplitudes in the Nambu-Jona Lasinio Model
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