Generalized parton distributions in the soft-wall model of AdS/QCD

TL;DR

This paper numerically analyzes helicity-independent nucleon GPDs within the soft-wall AdS/QCD model, connecting form factors to QCD sum rules, and explores their spatial and density distributions.

Contribution

It introduces a detailed numerical approach to compute nucleon GPDs in the soft-wall AdS/QCD framework, including higher Fock states and density function comparisons.

Findings

Calculated GPDs and Mellin moments consistent with phenomenology.

Extended analysis of charge and magnetization densities for nucleons.

Provided insights into transverse spatial distributions and form factors.

Abstract

We present a numerical analysis of helicity independent nucleon generalized parton distributions (GPDs) using the known formalism based on inclusion of higher Fock states in the soft-wall approach of the anti-de Sitter/QCD model. We calculate the momentum space GPDs by matching the electromagnetic form factors in the AdS model to the sum rules in QCD. We investigate their Mellin moments, transverse impact parameter GPDs, transverse mean square radius, and transverse width. We further extend this work to investigate the charge and anomalous magnetization densities for both unpolarized and transversely polarized nucleons. A comparison of results on density functions with phenomenological parametrization is also presented.