Comments and extensions of a suggestion for a relativistic charge density definition

TL;DR

This paper explores the relationship between recent and earlier definitions of relativistic charge densities in hadrons, demonstrating their connection in both polarized and unpolarized cases using light-front physics.

Contribution

It clarifies the physical connection between a new three-dimensional and an established two-dimensional relativistic charge density definition for spin-1/2 hadrons.

Findings

The new 3D charge density is physically connected to the 2D light-front density.

The connection holds for both polarized and unpolarized hadrons.

The work enhances understanding of relativistic charge distributions in hadron physics.

Abstract

A recent suggested definition of a relativistically correct three dimensional charge density of an extended hadron is shown to be physically and intuitively connected to an earlier relativistically correct two dimensional charge density studied in the context of light-front physics. Looking at spin-1/2 hadrons, such a connection is shown to exist for both the polarized and unpolarized cases.