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

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

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Courtoy, Aurore; Noguera Puchol, Santiago Perfil
Aquest document és un/a article, creat/da en: 2007

Este documento está disponible también en : http://dx.doi.org/10.1103/PhysRevD.76.094026
We 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.

    Courtoy, Aurore Noguera Puchol, Santiago 2007 The Pion-photon transition distribution amplitudes in the Nambu-Jona Lasinio model. Physical Review D 76 9 094026-1 094026-12
http://dx.doi.org/10.1103/PhysRevD.76.094026
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