# Spatial distribution of angular momentum inside the nucleon

## TL;DR

This paper investigates the detailed spatial distribution of angular momentum within the nucleon, clarifying discrepancies between definitions and demonstrating the persistence of kinetic and canonical orbital angular momentum equivalence at the density level.

## Contribution

It provides a detailed analysis of angular momentum densities inside the nucleon and confirms the equivalence of kinetic and canonical orbital angular momentum at the density level using the scalar diquark model.

## Key findings

- Discrepancies between angular momentum definitions originate from zero-integral terms.
- These terms are negligible at the integrated level but crucial at the density level.
- Kinetic and canonical orbital angular momentum remain equivalent at the density level in the scalar diquark model.

## Abstract

We discuss in detail the spatial distribution of angular momentum inside the nucleon. We show that the discrepancies between different definitions originate from terms that integrate to zero. Even though these terms can safely be dropped at the integrated level, they have to be taken into account at the density level. Using the scalar diquark model, we illustrate our results and, for the first time, check explicitly that the equivalence between kinetic and canonical orbital angular momentum persists at the density level, as expected in a system without gauge degrees of freedom.