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.

arXiv comment10 pages and 5 figures

References in corpus (35)

• Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• Generalized Parton Distributions
• Unraveling hadron structure with generalized parton distributions
• Hard Exclusive Reactions and the Structure of Hadrons
• Impact Parameter Dependent Parton Distributions and Off-Forward Parton Distributions for $\zeta \to 0$
• Scaling Limit of Deeply Virtual Compton Scattering
• Impact Parameter Space Interpretation for Generalized Parton Distributions
• Generalized parton distributions and strong forces inside nucleons and nuclei
• Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
• Baryons as non-topological chiral solitons
• Charge Density of the Neutron
• Revisiting the mechanical properties of the nucleon
• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Transverse Charge Densities
• Empirical transverse charge densities in the nucleon and the nucleon-to-$\Delta$ transition
• Spatial distribution of angular momentum inside the nucleon
• On LHCb pentaquarks as a baryon-psi(2S) bound state -- prediction of isospin 3/2 pentaquarks with hidden charm
• Forces within hadrons on the light front
• Charge Distributions of Moving Nucleons
• Ambiguities in the definition of local spatial densities in light hadrons
• Gravitational form factors of a spin one particle
• Forces inside the nucleon on the light front from 3D Breit frame force distributions: Abel tomography case
• The energy-momentum tensor of spin-1 hadrons: formalism
• Tomography for amplitudes of hard exclusive processes
• The relativistic center of mass in field theory with spin
• Pion mean fields and heavy baryons
• Gravitational form factors of a baryon with spin-3/2
• Chiral theory of nucleons and pions in the presence of an external gravitational field
• Strong force fields and stabilities of the nucleon and singly heavy baryon ${\Sigma }_c$
• Quadrupole pressure and shear forces inside baryons in the large $N_c$ limit
• Relativistic spin sum rules and the role of the pivot
• Monopole and quadrupole contributions to the angular momentum density
• Heavy baryons in a pion mean-field approach: A brief review
• Dual parameterization and Abel transform tomography for twist-3 DVCS

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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