Longitudinal momentum densities in transverse plane for nucleons

TL;DR

This paper investigates the distribution of longitudinal momentum in the transverse plane for u and d quarks within nucleons, using gravitational form factors derived from GPDs in two AdS/QCD models.

Contribution

It introduces a method to analyze longitudinal momentum densities in the transverse plane using gravitational form factors from two soft-wall AdS/QCD models.

Findings

Momentum densities vary with polarization states.

Differences observed between the two models.

Provides insights into nucleon internal structure.

Abstract

We present a study of longitudinal momentum densities ($p^+ \rm densities$) in the transverse impact parameter space for $u$ and $d$ quarks in both unpolarized and transversely polarized nucleons by taking a two dimensional Fourier transform of the gravitational form factors with respect to the momentum transfer in the transverse direction. The gravitational form factors are obtained by the second moments of GPDs. Here we consider the GPDs of two different soft-wall models in AdS/QCD correspondence.