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

TL;DR

This paper develops a formalism connecting Mellin moments of generalized parton distributions to light front wave functions, using inverse Radon transforms to extend distributions across regions, exemplified with AdS/QCD models.

Contribution

It introduces a novel method to derive double distributions from light front wave functions using inverse Radon transforms, extending GPDs beyond their outer region.

Findings

Derived non-standard inverse Radon transforms for double distributions.

Extended GPDs from outer to central regions using the formalism.

Applied the method to AdS/QCD-inspired wave functions.

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.