Generalized Parton Distributions for the Proton in Position Space : Non-Zero Skewness

TL;DR

This paper explores the proton's generalized parton distributions in position space with non-zero skewness, revealing parameter-dependent behaviors and diffraction patterns in longitudinal space, advancing understanding of proton structure.

Contribution

It introduces a detailed analysis of GPDs with non-zero skewness in position space, highlighting the impact of model parameters on the distributions.

Findings

GPD E depends sharply on model parameters at low x

Diffraction patterns observed in longitudinal position space

Behavior of GPDs varies with skewness and x region

Abstract

We investigate the generalized parton distributions (GPDs) for u and d quarks in a proton in transverse and longitudinal position space using a recent phenomenological parametrization. We take nonzero skewness \zeta and consider the region x> \zeta. Impact parameter space representation of the GPD E is found to depend sharply on the parameters used within the model, in particular in the low x region. In longitudinal position space a diffraction pattern is observed, as seen before in several other model