The pion distribution amplitude and the pion-photon transition form factor in a nonlocal chiral quark model

Abstract

We study the pion Distribution Amplitude (πDA) in the context of a nonlocal chiral quark model. The corresponding Lagrangian reproduces the phenomenological values of the pion mass and decay constant, as well as the momentum dependence of the quark propagator obtained in lattice calculations. It is found that the obtained πDA has two symmetric maxima, which arise from the new contributions generated by the nonlocal character of the interactions. This πDA is applied to leading order and next-to-leading order calculations of the pion-photon transition form factor. Implications of the results are discussed.

30 pages, 8 figures

References in corpus (17)

• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Light-Front Dynamics and AdS/QCD Correspondence: Gravitational Form Factors of Composite Hadrons
• Abelian anomaly and neutral pion production
• Moments of pseudoscalar meson distribution amplitudes from the lattice
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• On the Pion Distribution Amplitude Shape
• Comparing antithetic trends of data for the pion-photon transition form factor
• On covariant nonlocal chiral quark models with separable interactions
• Pion distribution amplitude from lattice-QCD
• Nonlocal chiral quark models with wavefunction renormalization: sigma properties and π-πscattering parameters
• The leading-twist pion and kaon distribution amplitudes from the QCD instanton vacuum
• Leading-twist pion and kaon distribution amplitudes in the gauge-invariant nonlocal chiral quark model from the instanton vacuum
• A combined study of the pion's static properties and form factors
• The Pion-Photon Transition Distribution Amplitudes in the Nambu-Jona Lasinio Model
• Determination of the pion distribution amplitude
• Pion radiative weak decays in nonlocal chiral quark models
• Pion transition form factor in the constituent quark model

Cited by in corpus (12)

• The transverse structure of the pion in momentum space inspired by the AdS/QCD correspondence
• Modeling interactions of photons with pseudoscalar and vector mesons
• Pion and Kaon parton distributions in the QCD instanton vacuum
• Spacelike and timelike form factors for the $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }\gamma$ transitions in the light-front quark model
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Hadronic structure on the light-front VIII. Light scalar and vector mesons
• The photon-pion transition form factor: incompatible data or incompatible models?
• Hadronic structure on the light-front VII. Pions and kaons and their partonic distributions
• The longitudinal and transverse distributions of the pion wavefunction from the present experimental data on the pion-photon transition form factor
• $\eta$-$\gamma$ and ${\eta }^{\prime }$-$\gamma$ transition form factors in a nonlocal NJL model
• Transition form-factor of $\gamma \to 3\pi$ in nonlocal quark model
• Thermo-magnetic nonlocal NJL model in the real and imaginary time formalisms