Unpolarized GPDs and GTMDs at small x with non-zero skewness are expressed via the dipole amplitude N and odderon O with modified rapidity Y = ln min{1/|x|, 1/|ξ|}.
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Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
Canonical reference. 78% of citing Pith papers cite this work as background.
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Pith papers citing it
Background
78% of classified citations
abstract
I introduce a gauge invariant decomposition of the nucleon spin into quark helicity, quark orbital, and gluon contributions. The total quark (and hence the quark orbital) contribution is shown to be measurable through virtual Compton scattering in a special kinematic region where single quark scattering dominates. This deeply-virtual Compton scattering (DVCS) has much potential to unravel the quark and gluon structure of the nucleon.
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representative citing papers
A group-theoretic construction yields complete form factor bases for scalar, vector, and tensor operators on spin-1/2 to spin-2 particles, with new P and T structures for higher spins and identification of a redundant conserved structure for spin-2 in existing literature.
The small-x gluon D-term is a next-to-eikonal stress probe and is not fixed by the leading-eikonal dipole or saturation profile alone.
Anomaly-induced dilaton-like corrections in the hard kernel significantly modify pion GFFs at large Q^{2} within a factorization approach using Sudakov resummation and a Gaussian TMD wave function.
Derives relativistic spatial distributions of transverse orbital angular momentum, intrinsic spin, and total angular momentum in the transverse plane for spin-0 and spin-1/2 targets via quantum phase-space formalism and verifies the transverse spin sum rule.
Fixed-j holographic DDVCS and DVCS structurally match the singlet conformal-OPE Wilson-kernel family of QCD via open- and closed-string Witten vertices.
A light-front spectator model yields the first calculation of Im(F^g_{1,4}) and the resulting sin(2φ) asymmetry in ep → epπ⁰ at EIC kinematics.
Analytical expressions for quark gravitational TMDs are derived in the LFQDM, verified against standard TMD relations, and linked to transverse pressure and shear-force distributions.
In QCD factorization, the pion trace anomaly cancels in A_π(Q²) but is important in D_π and dominates the TJJ contribution to the trace form factor, refining the hierarchy versus lattice data.
In light-front holographic QCD the nucleon gravitational form factor B_N(t) vanishes exactly in the symmetric limit due to an antisymmetric longitudinal factor and remains strongly suppressed for realistic nucleon wave functions, explaining its observed smallness.
σ-pole residues in gluon D-form factors for π, N, ρ and Δ are consistent with dilaton effective theory predictions within large uncertainties.
Replacing the rapidity argument of the dipole amplitude with ln min{1/|x|, 1/|ξ|} and refining initial conditions for non-linear evolution can eliminate two R-factors in small-x shockwave calculations.
Computes spin-orbit correlation distributions for charmonium and B_c mesons by linking parity-odd EMT matrix elements to light-front dynamics.
Feasibility study showing that A_LL measurements in J/ψ production at NICA can probe moderate-to-large x gluon helicity with |A_LL| up to 0.09.
In the bag model, GTMD calculations are consistent, orbital angular momentum is tied to F_{1,4}^q through the Ji sum rule, and a deeper link to pretzelosity TMD is established.
The EIC Yellow Report specifies the science goals, required detector capabilities, and technology concepts needed to realize a high-luminosity electron-ion collider program.
A hadronic approach based on dispersion relations and meson dominance achieves a successful description of lattice QCD data for gravitational form factors of pions and nucleons.
citing papers explorer
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Unpolarized GPDs at small $x$ and non-zero skewness
Unpolarized GPDs and GTMDs at small x with non-zero skewness are expressed via the dipole amplitude N and odderon O with modified rapidity Y = ln min{1/|x|, 1/|ξ|}.
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Covariant Construction of Generalized Form Factors
A group-theoretic construction yields complete form factor bases for scalar, vector, and tensor operators on spin-1/2 to spin-2 particles, with new P and T structures for higher spins and identification of a redundant conserved structure for spin-2 in existing literature.
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Sub-eikonal stress and model dependence of the small-$x$ gluon D-term
The small-x gluon D-term is a next-to-eikonal stress probe and is not fixed by the leading-eikonal dipole or saturation profile alone.
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The Gravitational Form Factor of the Pion in Perturbative QCD with a Dilaton Interaction
Anomaly-induced dilaton-like corrections in the hard kernel significantly modify pion GFFs at large Q^{2} within a factorization approach using Sudakov resummation and a Gaussian TMD wave function.
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Mapping the transverse spin sum rule in position space
Derives relativistic spatial distributions of transverse orbital angular momentum, intrinsic spin, and total angular momentum in the transverse plane for spin-0 and spin-1/2 targets via quantum phase-space formalism and verifies the transverse spin sum rule.
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Holographic Open/Closed Exchange in Double Deeply Virtual Compton Scattering: Fixed-$j$ Structural Matching to the $\pm$-Basis Wilson Kernels
Fixed-j holographic DDVCS and DVCS structurally match the singlet conformal-OPE Wilson-kernel family of QCD via open- and closed-string Witten vertices.
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Accessing gluon GTMD $F^g_{1,4}$ via the $\langle\sin(2\phi)\rangle$ azimuthal asymmetry of exclusive $\pi^0$ production in $ep$ collisions
A light-front spectator model yields the first calculation of Im(F^g_{1,4}) and the resulting sin(2φ) asymmetry in ep → epπ⁰ at EIC kinematics.
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Gravitational transverse momentum distribution of proton
Analytical expressions for quark gravitational TMDs are derived in the LFQDM, verified against standard TMD relations, and linked to transverse pressure and shear-force distributions.
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The Pion Gravitational Form Factors and the Trace Anomaly in QCD Factorization
In QCD factorization, the pion trace anomaly cancels in A_π(Q²) but is important in D_π and dominates the TJJ contribution to the trace form factor, refining the hierarchy versus lattice data.
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Origin of the nucleon gravitational form factor $B_N(t)$: Exposition in light-front holographic QCD
In light-front holographic QCD the nucleon gravitational form factor B_N(t) vanishes exactly in the symmetric limit due to an antisymmetric longitudinal factor and remains strongly suppressed for realistic nucleon wave functions, explaining its observed smallness.
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Gluon Gravitational $ D$-Form Factor: The $\sigma$-Meson as a Dilaton Confronted with Lattice Data II
σ-pole residues in gluon D-form factors for π, N, ρ and Δ are consistent with dilaton effective theory predictions within large uncertainties.
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On the Two $R$-Factors in the Small-$x$ Shockwave Formalism
Replacing the rapidity argument of the dipole amplitude with ln min{1/|x|, 1/|ξ|} and refining initial conditions for non-linear evolution can eliminate two R-factors in small-x shockwave calculations.
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Spin-orbit correlation of quarks within quarkonium
Computes spin-orbit correlation distributions for charmonium and B_c mesons by linking parity-odd EMT matrix elements to light-front dynamics.
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Moderate-to-Large-$x$ Gluon Helicity from $J/\psi$ Production at $\sqrt{s}=27~\mathrm{GeV}$
Feasibility study showing that A_LL measurements in J/ψ production at NICA can probe moderate-to-large x gluon helicity with |A_LL| up to 0.09.
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GTMDs, orbital angular momentum, and pretzelosity
In the bag model, GTMD calculations are consistent, orbital angular momentum is tied to F_{1,4}^q through the Ji sum rule, and a deeper link to pretzelosity TMD is established.
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Science Requirements and Detector Concepts for the Electron-Ion Collider: EIC Yellow Report
The EIC Yellow Report specifies the science goals, required detector capabilities, and technology concepts needed to realize a high-luminosity electron-ion collider program.
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Particle seismology: mechanical and gravitational properties from parton-hadron duality
A hadronic approach based on dispersion relations and meson dominance achieves a successful description of lattice QCD data for gravitational form factors of pions and nucleons.