The 3-D structure of the nucleons in perspective of the GPDs

In this paper, we present our QCD analysis of the Nucleon Form Factors presented by JLab to extract a new parameterization for the valence Generalized Parton Distributions (GPDs), [Formula: see text] and [Formula: see text]. We choose simple parameterizations for [Formula: see text] and [Formula: see text] dependence of GPDs at zero skewness. These free parameters of the model are then obtained using old and new data of nucleon’s elastic electromagnetic form factors (FFs) from JLAB. We have also used the “Hessian method” to perform a careful estimation of the uncertainties for the nucleon GPDs and corresponding observables originate from experimental errors. We also calculate the parton distribution functions (PDFs) in Impact parameter space to show the 3D structure of the Nucleon. We also calculated the proton and the neutron charge densities [Formula: see text]. We show that there is a highly localized negative charge near the center of the neutron and it is because of the negatively charged down quarks dominating the high momentum quarks in the neutron. Finally using the obtained Dirac’s FF, we had an estimation for the proton charge radius. The predictions based on the obtained nucleon GPDs are in good agreement with all available experimental data and other phenomenological models.