Parton Distributions in Impact Parameter Space

TL;DR

This paper explores the spatial distribution of partons within protons by analyzing generalized parton distributions through Fourier transforms, comparing different light front wave function models to understand their impact.

Contribution

It introduces a method to express impact parameter dependent parton distributions using overlaps of light front wave functions and compares three different models.

Findings

Different LFWF models produce varying impact parameter distributions.

Fourier transform of GPDs provides spatial insight into parton distributions.

Model comparisons highlight sensitivities in impact parameter space.

Abstract

Fourier transform of the generalized parton distributions (GPDs) at zero skewness with respect to the transverse momentum transfer gives the distribution of partons in the impact parameter space. We investigate the GPDs as well as the impact parameter dependent parton distributions (ipdpdfs) by expressing them in terms of overlaps of light front wave functions (LFWFs) and present a comparative study using three different model LFWFs.