Pion-photon Transition Distribution Amplitudes in the Spectral Quark Model

Abstract

The vector and axial pion-photon transition distribution amplitudes are analyzed in the Spectral Quark Model. We proceed by the evaluation of double distributions through the use of a manifestly covariant calculation based on the alpha representation of propagators. As a result polynomiality is incorporated and calculations become rather simple. Explicit formulas, holding at the low-energy quark-model scale, are obtained. The corresponding form factors for the anomalous decay pi0 -> gamma gamma* and the radiative pion decays are also evaluated and confronted with the data.

13 pages, 3 figures

References in corpus (2)

• Exclusive meson pair production in gamma* gamma scattering at small momentum transfer
• Photon distribution amplitudes and light-cone wave functions in chiral quark models

Cited by in corpus (25)

• Generalized parton distributions of the pion in chiral quark models and their QCD evolution
• Transition form factors of the pion in light-cone QCD sum rules with next-to-next-to-leading order contributions
• Gravitational and higher-order form factors of the pion in chiral quark models
• Production of a pion in association with a high-Q2 dilepton pair in antiproton-proton annihilation at GSI-FAIR
• Generalized Quark Transversity Distribution of the Pion in Chiral Quark Models
• πN transition distribution amplitudes: Their symmetries and constraints from chiral dynamics
• The Pion-Photon Transition Distribution Amplitudes in the Nambu-Jona Lasinio Model
• Parton content of the nucleon from distribution amplitudes and transition distribution amplitudes
• Pion radiative weak decays in nonlocal chiral quark models
• Covariant Non-local Chiral Quark Model and Pion-photon Transition Distribution Amplitudes
• Confined Chiral Solitons in the Spectral Quark Model
• Transversity form factors of the pion in chiral quark models
• Enhancement effects in exclusive $\pi \pi$ and $\rho \pi$ production in ${\gamma }^{\ast }\gamma$ scattering
• Form factors of radiative pion decays in nonlocal chiral quark models
• Duality between different mechanisms of QCD factorization in γ^*γcollisions
• A note on the QCD evolution of generalized form factors
• Pion-Photon TDAs in the NJL Model
• Pion wave function from lattice QCD vs. chiral quark models
• Photon Distribution Amplitudes in nonlocal chiral quark model
• Transversity Form Factors and Generalized Parton Distributions of the pion in chiral quark models
• Axial Vector Coupling and Chiral Anomaly in the Spectral Quark Model
• Transition Distribution Amplitudes for gamma* gamma collisions
• Generalized Parton Distributions of Pions. Spin Structure of Hadrons
• The Schwinger and Chiral Schwinger Models in a Non-perturbative Spectral Regularization
• Photon interactions and chiral dynamics