Energy-momentum tensor of the nucleon on the light front: Abel tomography case

TL;DR

This paper explores the energy-momentum tensor distributions of the nucleon on the light front using Abel transforms, demonstrating the preservation of key features and examining stability and force fields within the nucleon.

Contribution

It introduces a method to analyze 2D EMT distributions on the light front via Abel transforms, maintaining key features of 3D distributions and linking stability conditions.

Findings

Main features of EMT distributions are preserved in Abel transforms

Global and local stability conditions are shown to be equivalent

Two-dimensional force fields inside the nucleon are discussed

Abstract

We investigate the two-dimensional energy-momentum-tensor (EMT) distributions of the nucleon on the light front, using the Abel transforms of the three-dimensional EMT ones. We explicitly show that the main features of all EMT distributions are kept intact in the course of the Abel transform. We also examine the equivalence between the global and local conditions for the nucleon stability in the three-dimensional Breit frame and in the two-dimensional transverse plane on the light front. We also discuss the two-dimensional force fields inside a nucleon on the light front.