Double distributions and generalized parton distributions from the parton number conserved light front wave function overlap representation

Abstract

We show that Mellin moments of generalized parton distributions, given as even polynomials in the skewness parameter, are obtained from the Taylor expansion of light front wave functions. Furthermore, we derive non-standard versions of the inverse Radon transform to obtain the double distribution from the parton number conserved light front wave function overlap. These transformations are utilized to extend a generalized parton distribution from the outer region to the central one. We exemplify the formalism for a light front wave function that arises from an AdS/QCD duality conjecture.

arXiv comment18 pages, 1 figure

References in corpus (8)

• Light-Front Holographic QCD and Emerging Confinement
• Implication of the overlap representation for modelling generalized parton distributions
• Sum rules and dualities for generalized parton distributions: is there a holographic principle?
• Covariant Extension of the GPD overlap representation at low Fock states
• On "dual" parametrizations of generalized parton distributions
• $J=0$ fixed pole and $D$-term form factor in deeply virtual Compton scattering
• Forward-like functions for dual parametrization of GPDs from nonlocal chiral quark model
• The concept of phenomenological light-front wave functions -- Regge improved diquark model predictions

Cited by in corpus (5)

• Universality of Generalized Parton Distributions in Light-Front Holographic QCD
• A Nakanishi-based model illustrating the covariant extension of the pion GPD overlap representation and its ambiguities
• An introductory lecture on Generalised Parton Distributions
• Inverse Radon transform and the transverse-momentum dependent functions
• Inverse Radon transform at work