Forward-like functions for dual parametrization of GPDs from nonlocal chiral quark model

Abstract

We derive the set of inversion relations allowing to establish the link between the dual parametrization of GPDs and a broad class of phenomenological models for GPDs. As an example we consider the results of the calculation of the pion GPD in the framework of nonlocal chiral quark model (NlCQM) to recover the set of forward-like functions representing this GPD in the framework of dual parametrization. We also argue that Abel tomography method overlooks possible delta function like contributions to GPD quintessence function making explicit contribution to the D from factor.

12 pages, 5 figures (some misprints in the formulas for the integral transformation relating GPDs and the set of forward-like functions were corrected)

References in corpus (23)

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• Educing GPDs from amplitudes of hard exclusive processes
• Pion wave function from the instanton vacuum model
• Dispersion representations for hard exclusive reactions

Cited by in corpus (18)

• Generalized Parton Distributions in the valence region from Deeply Virtual Compton Scattering
• Deeply virtual Compton scattering at small x_B and the access to the GPD H
• Sum rules and dualities for generalized parton distributions: is there a holographic principle?
• Generalized Parton Distributions and Their Singularities
• Dual parametrization of GPDs versus the double distribution Ansatz
• $J=0$ fixed pole and $D$-term form factor in deeply virtual Compton scattering
• Dual parametrization of generalized parton distributions in two equivalent representations
• On the mistake in the implementation of the minimal model of the dual parameterization and resulting inability to describe the high-energy DVCS data
• Dual parameterization and Abel transform tomography for twist-3 DVCS
• Modeling Nucleon Generalized Parton Distributions
• Diphoton Generalized Distribution Amplitudes
• Accessing GPDs from experiment --- potential of a high-luminosity EIC ---
• The dual parametrization for gluon GPDs
• Double distributions and generalized parton distributions from the parton number conserved light front wave function overlap representation
• Sum Rules for Nucleon GPDs and Border Function Formulation
• On the equivalence of GPD representations
• Some news about generalised parton distributions
• On the universality of the $J=0$ fixed pole contribution in DVCS