Generalized Parton Distributions of the Proton in Position Space : Zero Skewness

TL;DR

This paper investigates the transverse position space distributions of quarks within the proton using recent GPD parametrizations at zero skewness, comparing different models and analyzing positivity constraints.

Contribution

It provides a comparative analysis of GPD parametrizations in impact parameter space and discusses the validity of positivity conditions for these distributions.

Findings

Different GPD parametrizations yield consistent impact parameter distributions.

Positivity conditions are valid within certain kinematic regions.

The study enhances understanding of proton structure in transverse space.

Abstract

We present a study of the parton distributions in transverse position or impact parameter space using a recent parametrization of u and d quark generalized parton distributions (GPDs) $H(x,t)$ and $E(x,t)$ at zero skewness. We make a comparative study between different parametrizations and discuss the region of validity of the positivity condition.