Photon Distribution Amplitudes in nonlocal chiral quark model

Abstract

Photon distribution amplitudes up to twist four are calculated within the nonlocal chiral quark model with a simple pole ansatz for momentum dependence of the constituent quark mass. Calculations are performed using modified electromagnetic vector current in order to satisfy Ward identities. Quark condensate and magnetic susceptibility of the QCD vacuum entering definitions of the distribution amplitudes are computed and compared with existing phenomenological estimates. Both real and off-shell photons are considered and relevant form factors are calculated. Our results are analytical up to the numerical solution of certain algebraic equation.

38 pages, 9 figures. Refs. added

References in corpus (8)

• Shape of Pion Distribution Amplitude
• Determination of the magnetic susceptibility of the quark condensate using radiative heavy meson decays
• 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
• Photon distribution amplitudes and light-cone wave functions in chiral quark models
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Cited by in corpus (5)

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• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Influence of confining gluon configurations on the $P\to {\gamma }^{\ast }\gamma$ transition form factors
• Off-shell photon distribution amplitudes in the low-energy effective theory of QCD
• Minimal Ward-Takahashi Vertices and Pion Light Cone Distribution Amplitudes from Gauge Invariant, Nonlocal, Dynamical Quark Model