Forces inside hadrons: pressure, surface tension, mechanical radius, and all that

Abstract

The physics related to the form factors of the energy momentum tensor spans a wide spectrum of problems, and includes gravitational physics, hard exclusive reactions, hadronic decays of heavy quarkonia, and the physics of exotic hadrons described as hadroquarkonia. It also provides access to the "last global unknown property:" the D-term. We review the physics associated with the form factors of the energy-momentum tensor and the D-term, their interpretations in terms of mechanical properties, their applications, and the current experimental status.

typos fixed, published version

References in corpus (45)

• Parton distributions for the LHC
• Charmonium
• Determination of nuclear parton distribution functions and their uncertainties at next-to-leading order
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• 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
• Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond
• Gravitational Form Factors of Vector Mesons in an AdS/QCD Model
• Dispersion representations for hard exclusive processes
• The nucleon form-factors of the energy momentum tensor in the Skyrme model
• Pion Generalized Parton Distributions with covariant and Light-front constituent quark models
• Equivalence principle and experimental tests of gravitational spin effects
• On LHCb pentaquarks as a baryon-psi(2S) bound state -- prediction of isospin 3/2 pentaquarks with hidden charm
• Dispersion relations and subtractions in hard exclusive processes
• 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
• Measurement of Muon Capture on the Proton to 1% Precision and Determination of the Pseudoscalar Coupling g_P
• 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
• Tomography for amplitudes of hard exclusive processes
• Radial excitations of Q-balls, and their D-term
• On the D-term of the nucleon generalized parton distributions
• 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
• On the A-dependence of nuclear generalized parton distributions
• Rigorous constraints on the matrix elements of the energy-momentum tensor
• The dynamic origins of fermionic D-terms
• Deeply Virtual Compton Scattering on a Photon and Generalized Parton Distributions in the Photon
• 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
• Analyticity and sum rules for photon GPDs
• Dual parametrization of generalized parton distributions in two equivalent representations
• Nucleon and nuclear structure through dilepton production
• Stability of the pion and the pattern of chiral symmetry breaking
• Deuteron transverse densities in holographic QCD
• Charge and longitudinal momentum distributions in transverse coordinate space
• Width of a two-body coupled-channel resonance

Cited by in corpus (215)

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• The pressure distribution and shear forces inside the proton
• Diffractive photoproduction of $J/\psi$ and ${\rm Y}$ using holographic QCD: gravitational form factors and GPD of gluons in the proton
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• Quark and gluon contributions to the QCD trace anomaly
• QCD Analysis of Near-Threshold Photon-Proton Production of Heavy Quarkonium
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• Gravitational form factors of a spin one particle
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• Extraction of the proton mass radius from the vector meson photoproductions near thresholds
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• Three-loop formula for quark and gluon contributions to the QCD trace anomaly
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• Extraction of the Parton Momentum-Fraction Dependence of Generalized Parton Distributions from Exclusive Photoproduction
• An introductory lecture on Generalised Parton Distributions
• Determination of the generalized parton distributions through the analysis of the world electron scattering data considering two-photon exchange corrections
• Generalised parton distributions from the off-forward Compton amplitude in lattice QCD
• Poincaré constraints on the gravitational form factors for massive states with arbitrary spin
• 2D energy-momentum tensor distributions of nucleon in a large-$N_c$ quark model from ultra-relativistic to non-relativistic limit
• On the definition of electromagnetic local spatial densities for composite spin-$1/2$ systems
• Gravitational form factors and mechanical properties of a quark at one loop in light-front Hamiltonian QCD
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• Pion gravitational form factors in a relativistic theory of composite particles
• Novel twist-three transverse-spin sum rule for the proton and related generalized parton distributions
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• Data-driven study of timelike Compton scattering
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• A bound on the nucleon Druck-term from chiral EFT in curved space-time and mechanical stability conditions
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• Empirical Determination of the Pion Mass Distribution
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• A glimpse into pion gravitational form factor
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• Probing gravity at sub-femtometer scales through the pressure distribution inside the proton
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• Gluon contribution to the mechanical properties of a dressed quark in light-front Hamiltonian QCD
• Gravitational transition form factors of $N(1535)\to N$
• Gravitational form factors of pion from top-down holographic QCD
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• Spatial densities of momentum and forces in spin-one hadrons
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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
• Artificial neural network modelling of generalised parton distributions
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• Q-ball stress stability criterion in the $U(1)$ gauged scalar theories
• Pion gravitational form factors in the QCD instanton vacuum I
• Magnetic enhancement of baryon confinement modeled via a deformed Skyrmion
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• Proton and deuteron mass radii from near-threshold $\varphi$-meson photoproduction
• Glue in hadrons at medium resolution and the QCD instanton vacuum
• Trace anomaly contribution to hydrogen atom mass
• Extracting transition generalized parton distributions from hard exclusive pion-nucleon scattering
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• Medium modification of the nucleon mechanical properties: Abel tomography case
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• Dense Baryonic Matter and Strangeness in Neutron Stars
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• Light-Cone Sum Rules for Gravitational Form Factors
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• Pion structure in Holographic QCD
• Three-loop corrections to the quark and gluon decomposition of the QCD trace anomaly and their applications