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.

arXiv commentPublished version

References in corpus (117)

• Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
• Generalized parton distributions and strong forces inside nucleons and nuclei
• The angular momentum controversy: What's it all about and does it matter?
• Skewed and double distributions in pion and nucleon
• Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
• Measurement of the Beam-Spin Azimuthal Asymmetry Associated with Deeply-Virtual Compton Scattering
• Nucleon Generalized Parton Distributions from Full Lattice QCD
• Observation of exclusive DVCS in polarized electron beam asymmetry measurements
• A QCD Analysis of the Mass Structure of the Nucleon
• Revisiting the mechanical properties of the nucleon
• Nucleon electromagnetic and gravitational form factors from holography
• Moments of Nucleon Generalized Parton Distributions in Lattice QCD
• Measurement of deeply virtual Compton scattering at HERA
• Deeply Virtual Compton Scattering Beam-Spin Asymmetries
• Scaling Tests of the Cross Section for Deeply Virtual Compton Scattering
• Generalized Parton Distributions from Lattice QCD
• Proton Mass Decomposition from the QCD Energy Momentum Tensor
• Off-forward quark distributions of the nucleon in the large N_c limit
• A Study of Off-Forward Parton Distributions
• Light-Front Dynamics and AdS/QCD Correspondence: Gravitational Form Factors of Composite Hadrons
• BREAKUP OF HADRON MASSES AND ENERGY-MOMENTUM TENSOR OF QCD
• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Deeply Virtual Compton Scattering off the neutron
• Form Factors and Wave Functions of Vector Mesons in Holographic QCD
• Gluon gravitational form factors of the nucleon and the pion from lattice QCD
• Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass
• The pressure distribution and shear forces inside the proton
• Gravitational Form Factors of Vector Mesons in an AdS/QCD Model
• 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
• On the hadron mass decomposition
• Quantum Corrections to the Reissner-Nordström and Kerr-Newman Metrics
• Sivers Function in the MIT Bag Model
• Cross sections for the exclusive photon electroproduction on the proton and Generalized Parton Distributions
• The Beam--Charge Azimuthal Asymmetry and Deeply Virtual Compton Scattering
• The nucleon form-factors of the energy momentum tensor in the Skyrme model
• Quark and gluon contributions to the QCD trace anomaly
• Spatial distribution of angular momentum inside the nucleon
• A critique of the angular momentum sum rules and a new angular momentum sum rule
• On LHCb pentaquarks as a baryon-psi(2S) bound state -- prediction of isospin 3/2 pentaquarks with hidden charm
• Beam-helicity and beam-charge asymmetries associated with deeply virtual Compton scattering on the unpolarised proton
• Revisiting the proton mass decomposition
• Measurement of Azimuthal Asymmetries With Respect To Both Beam Charge and Transverse Target Polarization in Exclusive Electroproduction of Real Photons
• Forces within hadrons on the light front
• Is gauge-invariant complete decomposition of the nucleon spin possible ?
• A Lattice Study of Quark and Glue Momenta and Angular Momenta in the Nucleon
• Charge Distributions of Moving Nucleons
• Dispersive evaluation of the D-term form factor in deeply virtual Compton scattering
• Quark Orbital Angular Momentum from Lattice QCD
• Polynomiality of unpolarized off-forward distribution functions and the D-term in the chiral quark-soliton model
• Energy-momentum tensor form factors of the nucleon in nuclear matter
• Gravitational form factors of light mesons
• Gravitational and higher-order form factors of the pion in chiral quark models
• Review of non-topological solitons in theories with $U(1)$-symmetry
• Measurement of double-spin asymmetries associated with deeply virtual Compton scattering on a transversely polarized hydrogen target
• Chiral structure of nucleon gravitational form factors
• Nucleon spin densities in a light-front constituent quark model
• Exclusive Leptoproduction of Real Photons on a Longitudinally Polarised Hydrogen Target
• Some properties of U(1) gauged Q-balls
• 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 generalized parton distribution function (E^u+E^d)(x,xi,t) of the nucleon in the chiral quark soliton model
• 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
• Phenomenological assessment of proton mechanical properties from deeply virtual Compton scattering
• Covariant multipole expansion of local currents for massive states of any spin
• Gravitational Form Factors in the Axial Sector from an AdS/QCD Model
• Virtual photons in the pion form factors and the energy-momentum tensor
• D-term and structure of point-like and composed spin-0 particles
• Single-spin azimuthal asymmetry in exclusive electroproduction of pi+ mesons on transversely polarized protons
• Forces inside the nucleon on the light front from 3D Breit frame force distributions: Abel tomography case
• Energy momentum tensor and the D-term in the bag model
• The energy-momentum tensor of spin-1 hadrons: formalism
• Separation of contributions from deeply virtual Compton scattering and its interference with the Bethe--Heitler process in measurements on a hydrogen target
• Gravitational form factors within light-cone sum rules at leading order
• Unified formalism for electromagnetic and gravitational probes: densities
• On the D-term of the nucleon generalized parton distributions
• Radial excitations of Q-balls, and their D-term
• Nucleon's energy-momentum tensor form factors in light-cone QCD
• Gravitational form factors and transverse spin sum rule in a light front quark-diquark model in AdS/QCD
• Energy momentum tensor, stability, and the D-term of Q-balls
• Measurement of azimuthal asymmetries associated with deeply virtual Compton scattering on an unpolarized deuterium target
• Leading Chiral Corrections to the Nucleon Generalized Parton Distributions
• Transverse-momentum dependent parton distribution functions beyond leading twist in quark models
• Chiral perturbation theory for nucleon generalized parton distributions
• First Exclusive Measurement of Deeply Virtual Compton Scattering off ${}^4$He: Toward the 3D Tomography of Nuclei
• Energy-momentum tensor form factors of the nucleon within a $\pi$-$\rho$-$\omega$ soliton model
• Nuclear-mass dependence of azimuthal beam-helicity and beam-charge asymmetries in deeply virtual Compton scattering
• Rigorous constraints on the matrix elements of the energy-momentum tensor
• 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
• Effects of long-range forces on the D-term and the energy-momentum structure
• Deeply virtual Compton scattering cross section at high Bjorken $x_B$
• Beam-Charge Asymmetry associated with DVCS at HERMES
• Three-loop formula for quark and gluon contributions to the QCD trace anomaly
• The dynamic origins of fermionic D-terms
• Exploring the Structure of the Bound Proton with Deeply Virtual Compton Scattering
• The gravitational form factor D(t) of the electron
• Measurement of azimuthal asymmetries associated with deeply virtual Compton scattering on a longitudinally polarized deuterium target
• Proton Mass Decomposition and Hadron Cosmological Constant
• Gravitational form factors and angular momentum densities in light-front quark-diquark model
• Poincaré constraints on the gravitational form factors for massive states with arbitrary spin
• Genuine empirical pressure within the proton
• Relativistic spin sum rules and the role of the pivot
• Universality of the Poincaré gravitational form factor constraints
• The energy-momentum tensor and D-term of Q-clouds
• On the deuteron relativistic charge distributions
• Monopole and quadrupole contributions to the angular momentum density
• Deuteron transverse densities in holographic QCD
• Impact of DCSB and dynamical diquark correlations on proton GPDs
• Gravitational transition form factors of $N(1535)\to N$
• Measurement of deeply virtual Compton scattering off Helium-4 with CLAS at Jefferson Lab
• Gravitational form factors of hyperons in light-cone QCD
• Angular Momentum Distribution in the Transverse Plane
• Partonic angular momentum in the nucleon's chiral periphery
• Effect of the pion field on the distributions of pressure and shear in the proton
• Energy-momentum tensor of the nucleon on the light front: Abel tomography case
• Deeply virtual Compton scattering off the neutron

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• 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
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• 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
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