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.
Highlights
We explicitly show that the main features of all EMT distributions are kept intact in the course of the Abel transform
A modern understanding of a hadronic form factor is based on the generalized parton distributions (GPDs) [1,2,3,4,5,6]: For example, the electromagnetic form factors of the nucleon can be viewed as the first moments of the unpolarized vector GPD with respect to the parton momentum fractions
SUMMARY AND CONCLUSION The present work aimed at investigating the equivalence between the EMT distributions in the three-dimensional Breit frame and those on the light front by the Abel transforms, based on the chiral quark-soliton model
Summary
A modern understanding of a hadronic form factor is based on the generalized parton distributions (GPDs) [1,2,3,4,5,6]: For example, the electromagnetic form factors of the nucleon can be viewed as the first moments of the unpolarized vector GPD with respect to the parton momentum fractions. The most nontrivial part of the GFFs comes from the D-term (Druck-term) form factor [9], which is deeply related to the stability of the nucleon It reveals how the nucleon acquires its mechanical stability, which is exhibited by the pressure and shear-force densities. If one takes the infinite momentum frame (IMF), which indicates that the nucleon is on the light-front (LF), the relativistic corrections to the distributions are suppressed kinematically and a transversely localized state for the nucleon can be defined, which enables one to construct the two-dimensional (2D) transverse distributions on the LF They provide a strict probabilistic interpretation [14,15,27] and are not Lorentz contracted, since the initial and final states of the nucleon lie on the mass shell. The last section summarizes the present results and draws conclusions
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