2D energy-momentum tensor distributions of nucleon in a large-$N_c$ quark model from ultra-relativistic to non-relativistic limit

Abstract

Form factors of the energy-momentum tensor (EMT) can be interpreted in certain frames in terms of spatial distributions of energy, stress, linear and angular momentum, based on 2D or 3D Fourier transforms. This interpretation is in general subject to "relativistic recoil corrections", except when the nucleon moves at the speed of light like e.g. in the infinite-momentum frame. We show that it is possible to formulate a large-$N_c$ limit in which the probabilistic interpretation of the nucleon EMT distributions holds also in other frames. We use the bag model formulated in the large-$N_c$ limit as an internally consistent quark model framework to visualize the information content associated with the 2D EMT distributions. In order to provide more intuition, we present results in the physical situation and in three different limits: by considering a heavy-quark limit, a large system-size limit and a constituent-quark limit. The visualizations of the distributions in these extreme limits will help to interpret the results from experiments, lattice QCD, and other models or effective theories.

Published version

References in corpus (37)

• Nucleon electromagnetic and gravitational form factors from holography
• Light-Front Dynamics and AdS/QCD Correspondence: Gravitational Form Factors of Composite Hadrons
• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Form Factors and Wave Functions of Vector Mesons in Holographic QCD
• Gravitational Form Factors of Vector Mesons in an AdS/QCD Model
• The nucleon form-factors of the energy momentum tensor in the Skyrme model
• On LHCb pentaquarks as a baryon-psi(2S) bound state -- prediction of isospin 3/2 pentaquarks with hidden charm
• Measurement of Azimuthal Asymmetries With Respect To Both Beam Charge and Transverse Target Polarization in Exclusive Electroproduction of Real Photons
• Dispersive evaluation of the D-term form factor in deeply virtual Compton scattering
• Gravitational and higher-order form factors of the pion in chiral quark models
• Nucleon spin densities in a light-front constituent quark model
• Beam-helicity asymmetry arising from deeply virtual Compton scattering measured with kinematically complete event reconstruction
• Cross sections for hard exclusive electroproduction of pi+ mesons on a hydrogen target
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Implication of the overlap representation for modelling generalized parton distributions
• Gravitational Form Factors in the Axial Sector from an AdS/QCD Model
• D-term and structure of point-like and composed spin-0 particles
• Energy momentum tensor and the D-term in the bag model
• Gravitational form factors within light-cone sum rules at leading order
• The energy-momentum tensor of spin-1 hadrons: formalism
• On the D-term of the nucleon generalized parton distributions
• Radial excitations of Q-balls, and their D-term
• Gravitational form factors and transverse spin sum rule in a light front quark-diquark model in AdS/QCD
• Leading Chiral Corrections to the Nucleon Generalized Parton Distributions
• Energy momentum tensor, stability, and the D-term of Q-balls
• Transverse-momentum dependent parton distribution functions beyond leading twist in quark models
• First Exclusive Measurement of Deeply Virtual Compton Scattering off ${}^4$He: Toward the 3D Tomography of Nuclei
• Rigorous constraints on the matrix elements of the energy-momentum tensor
• Effects of long-range forces on the D-term and the energy-momentum structure
• Deeply virtual Compton scattering cross section at high Bjorken $x_B$
• Measurement of azimuthal asymmetries associated with deeply virtual Compton scattering on a longitudinally polarized deuterium target
• Gravitational form factors and angular momentum densities in light-front quark-diquark model
• On the deuteron relativistic charge distributions
• Monopole and quadrupole contributions to the angular momentum density
• Deuteron transverse densities in holographic QCD
• Energy-momentum tensor of the nucleon on the light front: Abel tomography case
• Deeply virtual Compton scattering off the neutron

Cited by in corpus (15)

• Gravitational form factors of the proton from lattice QCD
• Precision Studies of QCD in the Low Energy Domain of the EIC
• Gravitational form factors of the baryon octet with flavor SU(3) symmetry breaking
• On the definition of electromagnetic local spatial densities for composite spin-$1/2$ systems
• Nucleon relativistic polarization and magnetization distributions
• Dominance of gluonic scale anomaly in confining pressure inside nucleon and D-term
• Relativistic composite-particle theory of the gravitational form factors of pion: quantitative results
• Local spatial densities for composite spin-3/2 systems
• Electromagnetic and gravitational local spatial densities for spin-1 systems
• Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory
• Pion gravitational form factors at large momentum transfer in the instant-form relativistic impulse approximation approach
• Mechanical form factors and densities of non-relativistic fermions
• Medium modification of the nucleon mechanical properties: Abel tomography case
• Scale-anomaly-induced binding pressure in hadrons
• Energy-momentum tensor form factor D(t) of proton and neutron