Spatial densities of momentum and forces in spin-one hadrons

TL;DR

This paper calculates the spatial distributions of momentum, angular momentum, and pressure in spin-one hadrons using a light front formalism, providing insights into their internal structure and polarization effects.

Contribution

It introduces a formalism for computing relativistic densities in spin-one hadrons, including massless targets, and applies it to a deuteron model to illustrate properties.

Findings

Momentum and pressure distributions are obtained for a deuteron.

Helicity dependence of densities is demonstrated.

Formalism accommodates relativistic effects and arbitrary localization.

Abstract

Densities associated with the energy-momentum tensor are calculated for spin-one targets. These calculations are done in a light front formalism, which accounts for relativistic effects due to boosts and allows for arbitrary spatial localization of the target. These densities include the distribution of momentum, angular momentum, and pressures over a two-dimensional plane transverse to the light front. Results are obtained for both longitudinally and transversely polarized targets, and the formalism is tailored to allow the possibility of massless targets. The momentum density and pressure distributions are calculated for a deuteron target in a light cone convolution model, with which the properties of this model (such as helicity dependence of the densities) is illustrated.