Forces inside the nucleon on the light front from 3D Breit frame force distributions: Abel tomography case

Abstract

We derive simple relations which express 2D light front force distributions in terms of 3D Breit frame pressure and shear force distributions. Mathematically the relations correspond to invertible Abel transformation and they establish one-to-one mathematical equivalence of 3D Breit frame force distributions and 2D light front ones. Any knowledge (model calculation, experimental measurement, etc.) about pressure and shear force distributions in Breit frame can be unambiguously transformed into light front force distributions with the help of Abel transformation. It is important that the transformation ensures 2D stability conditions if the 3D stability conditions are satisfied. As an illustration of how the relations work, we calculated the light front force distributions for a large nucleus as a liquid drop, and for large $N_c$ nucleon as a chiral soliton.

arXiv comment8 pages, minor typos are corrected

References in corpus (25)

• Impact Parameter Dependent Parton Distributions and Off-Forward Parton Distributions for $\zeta \to 0$
• Generalized parton distributions and strong forces inside nucleons and nuclei
• Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
• Revisiting the mechanical properties of the nucleon
• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Transverse Charge Densities
• Hadron tomography by generalized distribution amplitudes in pion-pair production process ${\gamma }^{\ast }\gamma \to {\pi }^0{\pi }^0$ and gravitational form factors for pion
• The nucleon form-factors of the energy momentum tensor in the Skyrme model
• 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
• Charge Distributions of Moving Nucleons
• Energy-momentum tensor form factors of the nucleon in nuclear matter
• Ambiguities in the definition of local spatial densities in light hadrons
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Covariant multipole expansion of local currents for massive states of any spin
• Phenomenological assessment of proton mechanical properties from deeply virtual Compton scattering
• The energy-momentum tensor of spin-1 hadrons: formalism
• Tomography for amplitudes of hard exclusive processes
• Energy-momentum tensor form factors of the nucleon within a $\pi$-$\rho$-$\omega$ soliton model
• Gravitational form factors of a baryon with spin-3/2
• Chiral theory of nucleons and pions in the presence of an external gravitational field
• In-medium modified energy-momentum tensor form factors of the nucleon within the framework of a $\pi$-$\rho$-$\omega$ soliton model
• 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
• 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
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• Quantum stresses in the hydrogen atom
• Electromagnetic and gravitational local spatial densities for spin-1 systems
• A Journey of Seeking Pressure and Forces in the Nucleon
• Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory
• Mechanical form factors and densities of non-relativistic fermions
• Medium modification of the nucleon mechanical properties: Abel tomography case
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• Visualization of internal forces inside the proton in a classical relativistic model
• Energy-momentum tensor form factors and spin density distribution in the nucleon calculated in a quantized Skyrme model with vector mesons
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