Charge and magnetization densities in transverse coordinate and impact parameter space

TL;DR

This paper investigates charge and magnetization densities of nucleons in transverse coordinate and impact parameter spaces using light front wave functions, revealing differences in their spatial fall-off behaviors and incorporating holographic QCD insights.

Contribution

It develops a relation between charge distributions in transverse coordinate and impact parameter spaces, including the impact of longitudinal momentum and holographic QCD models.

Findings

Impact parameter space distributions fall off faster than transverse coordinate space distributions.

The anomalous magnetization density of the nucleon is analyzed.

QCD transverse AdS charge density results are presented.

Abstract

Electromagnetic form factors obtained from the overlap of light front wave functions (LFWFs) have been used to study the transverse densities of charge and magnetization. The calculations have been carried out to develop a relation between the charge distribution of the quarks inside nucleon in the transverse coordinate space as well as in the impact parameter space. When a comparison is carried out, it is found that the transverse distribution in the impact parameter space, where the longitudinal momentum fraction $x$ can be fixed, falls off faster than the spatial distribution in the transverse coordinate space where there is some contribution from the longitudinal momentum as well. The anomalous magnetization density of the nucleon has also been discussed. Further, we have also presented the results of the QCD transverse AdS charge density inspired from the holographic QCD model.