Hadronic Momentum Densities in the Transverse Plane

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.

4 pages, 2 figures

References in corpus (4)

• Light-Front Dynamics and AdS/QCD Correspondence: Gravitational Form Factors of Composite Hadrons
• Gravitational Form Factors of Vector Mesons in an AdS/QCD Model
• Empirical transverse charge densities in the nucleon and the nucleon-to-$\Delta$ transition
• Gravitational Form Factors in the Axial Sector from an AdS/QCD Model