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

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.

10 pages and 5 figures

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• 2D energy-momentum tensor distributions of nucleon in a large-$N_c$ quark model from ultra-relativistic to non-relativistic limit
• Mechanical structure of a spin-1 particle
• Electromagnetic multipole structure of a spin-one particle: Abel tomography case
• Local spatial densities for composite spin-3/2 systems
• Medium modification of the nucleon mechanical properties: Abel tomography case