Hadronic Momentum Densities in the Transverse Plane

TL;DR

This paper explores the spatial distribution of momentum within nucleons and spin-1 particles, revealing that momentum density is more concentrated than charge density, using Fourier transforms of gravitational form factors and theoretical models.

Contribution

It establishes relativistically exact links between momentum densities and gravitational form factors, and applies these to semi-empirical and theoretical distributions for nucleons and spin-1 particles.

Findings

Momentum density in the transverse plane is more compact than charge density.

Derived semi-empirical momentum distributions for nucleons.

Theoretical momentum distributions for spin-1 particles based on AdS/QCD.

Abstract

We examine the spatial density within extended objects of the momentum component $p^+$, and find relativistically exact connections to Fourier transforms of gravitational form factors. We apply these results to obtain semi-empirical momentum density distributions within nucleons, and similar distributions for spin-1 objects based on theoretical results from the AdS/QCD correspondence. We find that the momentum density in the transverse plane is more compact than the charge density.