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

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.

Automated summary

In this study, the two-dimensional energy-momentum-tensor distributions of the nucleon on the light front were investigated using Abel transforms. It was found that the main features of all EMT distributions remained intact during the Abel transform process. Equivalence between global and local stability conditions for the nucleon in different frames was examined, along with discussions on the two-dimensional force fields within a nucleon on the light front.