Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-07-23
Phys.Rev.D76:094026,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pag. and 6 fig, final version (to appear in Phys. Rev. D)
Scientific paper
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 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 A.
Noguera Santiago
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