Pion-photon transition distribution amplitudes in the Nambu-Jona-Lasinio model
Journal Article
·
· Physical Review. D, Particles Fields
- Departamento de Fisica Teorica and Instituto de Fisica Corpuscular, Universidad de Valencia-CSIC, E-46100 Burjassot (Valencia) (Spain)
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.
- OSTI ID:
- 21032576
- Journal Information:
- Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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