QCD Constrains on the Shape of Polarized Quark and Gluon Distributions

Abstract

We develop simple analytic representations of the polarized quark and gluon distributions in the nucleon at low $Q^2$ which incorporate general constraints obtained from the requirements of color coherence of gluon couplings at $x\sim 0$ and the helicity retention properties of perturbative QCD couplings at $x\sim 1.$ The unpolarized predictions are similar to the $D_0^{\prime }$ distributions given by Martin, Roberts, and Stirling. The predictions for the quark helicity distributions are compared with polarized structure functions measured by the E142 experiment at SLAC and the SMC experiment at CERN.

Correct version of Fig. 1 added, LaTex, 27 pages, plus 4 figures

References in corpus (6)

• Measurement of the Spin-Dependent Structure Function $g_1(x)$ of the Proton
• Consistent Analysis of the Spin Content of the Nucleon
• Analysis of Data on Polarized Lepton-Nucleon Scattering
• Wavefunction-Independent Relations between the Nucleon Axial-Coupling g_A and the Nucleon Magnetic Moments
• The Proton Spin and the Wigner Rotation
• Effects of the large gluon polarization on $x{g}_1^d(x)$ and J/$\psi$ productions at polarized ep and pp collisions

Cited by in corpus (215)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Impact Parameter Space Interpretation for Generalized Parton Distributions
• Dyson-Schwinger equations: a tool for hadron physics
• The Spin Structure of the Nucleon
• Models for the Polarized Parton Distributions of the Nucleon
• Measurements of the Proton and Deuteron Spin Structure Functions g1 and g2
• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• Explanation and Prediction of Observables using Continuum Strong QCD
• Deep Inelastic Scattering of Polarized Electrons by Polarized ${}^3$He and the Study of the Neutron Spin Structure
• Next-to-Leading Order Radiative Parton Model Analysis of Polarized Deep Inelastic Scattering
• Measurements of the $Q^2$-Dependence of the Proton and Neutron Spin Structure Functions g1p and g1n
• Spin Structure of the Proton from Polarized Inclusive Deep-Inelastic Muon-Proton Scattering
• QCD Analysis of Polarized Deep Inelastic Data and Parton Distributions
• The role of the quark and gluon GPDs in hard vector-meson electroproduction
• Polarized Parton Distributions in the Nucleon
• The Quark/Antiquark Asymmetry of the Nucleon Sea
• 50 Years of Quantum Chromodynamics
• Spin Physics and Polarized Structure Functions
• Distribution Functions of the Nucleon and Pion in the Valence Region
• Precision Measurement of the Neutron Spin Asymmetries and Spin-dependent Structure Functions in the Valence Quark Region
• The Spin Structure of the Proton
• Nuclear Deep-Inelastic Lepton Scattering and Coherence Phenomena
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Determination of ${\alpha }_s$ and the Nucleon Spin Decomposition Using Recent Polarized Structure Function Data
• Extracting the Sivers function from polarized SIDIS data and making predictions
• Spin Structure of the Nucleon - Status and Recent Results
• Polarized Parton Distribution Functions in the Nucleon
• Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD
• Neutron/Proton Structure Function Ratio at Large x
• Pion Valence Structure from Ioffe Time Pseudo-Distributions
• Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond
• The pion parton distribution function in the valence region
• The Three-Loop Splitting Functions in QCD: The Helicity-Dependent Case
• A Next-to-Leading Determination of the Singlet Axial Charge and the Polarized Gluon Content of the Nucleon
• First direct lattice-QCD calculation of the $x$-dependence of the pion parton distribution function
• Measurement of the $x$- and $Q^2$-Dependence of the Asymmetry $A_1$ on the Nucleon
• Next-to-Leading Order QCD Analysis of Polarized Deep Inelastic Scattering Data
• The Spin Structure of the Nucleon in the Asymptotic Limit
• Nucleon and $\Delta$ elastic and transition form factors
• Precision Measurement of the Neutron Spin Asymmetry $A_1^n$ and Spin-Flavor Decomposition in the Valence Quark Region
• The Spin Structure of the Nucleon
• Revealing the structure of light pseudoscalar mesons at the Electron-Ion Collider
• Photoproduction of charm near threshold
• Measurement of Single and Double Spin Asymmetries in Deep Inelastic Pion Electroproduction with a Longitudinally Polarized Target
• Measurements of the Q2-Dependence of the Proton and Deuteron Spin Structure Functions g1p and g1d
• Light-front quark model consistent with Drell-Yan-West duality and quark counting rules
• Pion and kaon valence-quark parton distribution functions
• Dynamics of Light Antiquarks in the Proton
• Valence Quark Spin Distribution Functions
• Generalized Parton Distributions at x->1
• Light-Front Quantum Chromodynamics: A framework for the analysis of hadron physics
• The asymptotic behaviour of parton distributions at small and large $x$
• Probing transverse quark polarization via azimuthal asymmetries in leptoproduction
• Nucleon structure from basis light-front quantization
• Nucleon quark distributions in a covariant quark-diquark model
• Nucleon spin structure at very high-x
• Physics of Gluon Helicity Contribution to Proton Spin
• Reviewing model calculations of the Collins fragmentation function
• NLO QCD Analysis of Polarized Deep Inelastic Scattering
• Higher-Twist Dynamics in Large Transverse Momentum Hadron Production
• Angular Momentum Decomposition for an Electron
• Estimate of the Collins fragmentation function in a chiral invariant approach
• Leading-Order Determination of the Gluon Polarization from high-$p_T$ Hadron Electroproduction
• Impact of hadronic and nuclear corrections on global analysis of spin-dependent parton distributions
• Deep inelastic scattering from A=3 nuclei and the neutron structure function
• Longitudinal quark polarization in transversely polarized nucleons
• Effect of Orbital Angular Momentum on Valence-Quark Helicity Distributions
• From Bethe-Salpeter Wave Functions to Generalised Parton Distributions
• Determination of the Proton Spin Structure Functions for 0.05 < Q^2 < 5 GeV^2 using CLAS
• Quark Structure of $\Lambda$ from $\Lambda$-Polarization in Z Decays
• Evidence for Quark-Hadron Duality in the Proton Spin Asymmetry $A_1$
• Neutron Structure Function and A=3 Mirror Nuclei
• Single-spin Azimuthal Asymmetries in the ``Reduced Twist-3 Approximation''
• Flavor and Spin Structure of $\Lambda$-Baryon at Large x
• The Flavor and Spin Structure of Hyperons from Quark Fragmentation
• Radiative Parton Model Analysis of Polarized Deep Inelastic Lepton Nucleon Scattering
• Azimuthal Spin Asymmetries of Pion Electroproduction
• Single Spin Asymmetry Scaling in the Forward Rapidity Region at RHIC
• Contact-interaction Faddeev equation and, inter alia, proton tensor charges
• Polarized Antimatter in the Proton from Global QCD Analysis
• Towards a fitting procedure to deeply virtual meson production -- the next-to-leading order case --
• Towards the NNLO evolution of polarised parton distributions
• Gluon Gravitational Form Factors at Large Momentum Transfer
• Nucleon Transversity Distribution from Azimuthal Spin Asymmetry in Pion Electroproduction
• The Baryon Anomaly: Evidence for Color Transparency and Direct Hadron Production at RHIC
• Precise Determination of the Deuteron Spin Structure at Low to Moderate $Q^2$ with CLAS and Extraction of the Neutron Contribution
• Nucleon structure in a light-front quark model consistent with quark counting rules and data
• Constraints on spin-dependent parton distributions at large x from global QCD analysis
• Emergence of pion parton distributions
• Helicity Parton Distributions at a Future Electron-Ion Collider: A Quantitative Appraisal
• Proton and pion distribution functions in counterpoint
• Phenomenology of IR-renormalons in inclusive processes
• Light-Cone Wavefunctions at Small $x$
• Unified Description of Polarized and Unpolarized Quark Distributions in the Proton
• Single Transverse-Spin Asymmetries at Large-x
• Scaling properties of high p_T inclusive hadron production
• Higgs Hadroproduction at Large Feynman x
• Some Inequalities for the Generalized Parton Distribution E(x,0,t)
• Unveiling the Proton Spin Decomposition at a Future Electron-Ion Collider
• Gluon matter distribution in the proton and pion from extended holographic light-front QCD
• Parton distributions of light quarks and antiquarks in the proton
• Gluon distributions in the proton in a light-front spectator model
• Axial vector diquark correlations in the nucleon: Structure functions and static properties
• Glueballs from 1+1 Dimensional Gauge Theories with Transverse Degrees of Freedom
• Valence quark ratio in the proton
• Tomography of exotic hadrons in high-energy exclusive processes
• Investigation of single spin asymmetries in pi^{+} electroproduction
• Reassessment of the Collins Mechanism for Single-spin Asymmetries and the behavior of Delta d(x) at large x
• x-Dependent Polarized Parton Distributions
• Small- and large-x nucleon spin structure from a global QCD analysis of polarized Parton Distribution Functions
• Helicity and Transversity Distribution of Nucleon and $\Lambda$-Hyperon from $\Lambda$ Fragmentation
• Pion Valence-quark Parton Distribution Function
• Nucleon spin decomposition with one dynamical gluon
• Quark-Hadron Duality in Neutron (3He) Spin Structure
• Quark Distributions of Octet Baryons from SU(3) Symmetry
• Gluon distributions and their applications to Ioffe-time distributions
• Measurement of the proton spin structure at long distances
• Exploring the Partonic Structure of Hadrons through the Drell-Yan Process
• Mesons on a transverse lattice
• Comparative study of nuclear effects in polarized electron scattering from 3He
• Azimuthal Spin Asymmetries in Semi-Inclusive Production from Positron-Proton Scattering
• Proton-deuteron asymmetry in Drell-Yan processes and polarized light-antiquark distributions
• Structure and Production of Lambda Baryons
• Connection between Distribution and Fragmentation Functions
• Factorization of Large-x Quark Distributions in a Hadron
• Gluon parton densities in soft-wall AdS/QCD
• Models of $J/\Psi$ photo-production reactions on the nucleon
• Transversity from two pion interference fragmentation
• Origin of the Proton Mass
• The gluon and charm content of the deuteron
• Towards a Pion Generalized Parton Distribution Model from Dyson-Schwinger Equations
• $J/\psi$ production in hadron scattering: three-pomeron contribution
• Inclusive Hadron Photoproduction from Longitudinally Polarized Protons and Deuterons
• Polarised parton distribution functions and proton spin
• Chiral-odd transversity spin structure function $h_1(x)$ of the nucleon in a constituent quark model
• Soft Contributions to Hard Pion Photoproduction
• Spin Transfers for Baryon Production in Polarized pp Collisions at RHIC-BNL
• Threshold Pion Electroproduction at Large Momentum Transfers
• Single target-spin asymmetries in semi-inclusive pion electroproduction on longitudinally polarized protons
• Measuring Polarized Gluon and Quark Distributions with Meson Photoproduction
• Up and Down Quark Contributions to Spin Content of Lambda from Fragmentation
• Probing the transverse spin of quarks in deep inelastic scattering
• The GPD H-tilde and spin correlations in wide-angle Compton scattering
• The Intrinsic Gluon Component of the Nucleon
• Flavor and Spin Structure of Octet Baryons at Large x
• The Quark-Antiquark Asymmetry of the Nucleon Sea from $\Lambda$ and $\bar{\Lambda }$ Fragmentation
• Collins Effect in Single Spin Asymmetries of the $p^{\uparrow }p\to \pi X$ Process
• Polarized gluon distribution in the proton from holographic light-front QCD
• Tube Model for Light-Front QCD
• Next-to-leading order QCD corrections to single-inclusive hadron production in transversely polarized p-p and pbar-p collisions
• Instantons and Polarized Structure Functions
• First Extraction of Transverse Momentum Dependent Helicity Distributions
• Gluon Virtuality and Heavy Sea Quark Contributions to the Spin-Dependent g_1 Structure Function
• The effect of quark exchange in A=3 mirror nuclei and neutron/proton structure functions ratio
• Goldstone Boson's Valence-Quark Distribution
• Nucleon structure functions and longitudinal spin asymmetries in the chiral quark constituent model
• A model for the $Q^2$ dependence of polarized structure functions
• Quark helicity distributions in transverse momentum space and transverse coordinate space
• Single Target-Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering on Transversely Polarized Nucleon Target
• Combining Lattice QCD Results with Regge Phenomenology in a Description of Quark Distribution Functions
• Parity-violating asymmetry of $W$ bosons produced in $p$-$p$ collisions
• Gluon Polarization from QCD Sum Rules
• The Role of Strange and Charm Quarks in the Nucleon Spin Structure Function
• What We Can Learn About Nucleon Spin Structure From Recent Data
• Hadron Structure using Continuum Schwinger Function Methods
• Double-spin cos(phi) Asymmetry in Semi-inclusive Electroproduction
• Polarized Parton Distribution Functions Reexamined
• Systematic uncertainties from higher-twist corrections in DIS at large x
• Extraction of the neutron F2 structure function from inclusive proton and deuteron deep-inelastic scattering data
• New findings in gluon TMD physics
• The Mystery of Bloom-Gilman Duality: A Light Front Holographic QCD Perspective
• Spin constraints on Regge predictions and perturbative evolution in high energy collisions
• Polarized Structure Functions in the Valence Quark and Resonance Regions and the GDH Sum
• Wide-angle photo- and electroproduction of pions to twist-3 accuracy
• QCD spin physics: status, and prospects for RHIC
• Suppression of Spin Transfer to $\Lambda$ Hyperon in Deep-Inelastic Scattering
• Highlights and Perspectives of the JLab Spin Physics Program
• Polarized and unpolarized gluon PDFs: generative machine learning applications for lattice QCD matrix elements at short distance and large momentum
• Deuteron Structure Functions in the Context of Few-Body Physics
• QCD on the Light-Front -- A Systematic Approach to Hadron Physics
• Polarization phenomena in open charm photoproduction processes
• Ratio of $\bar{\Lambda }/\Lambda$ in Semi-inclusive Electroproduction
• Light-Front Holography and the Light-Front Schrodinger Equation
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• The final state hadrons in polarised deep inelastic scattering
• Towards an understanding of nucleon spin structure: from hard to soft scales
• The Shape of Polarized Gluon Distributions
• Semi-inclusive Lambda_c^+ Leptoproductions and Polarized Gluon Distributions
• Relating the proton, neutron and deuteron structure functions in the covariant Bethe-Salpeter formalism
• Evidence for SU(3) symmetry breaking from hyperon production
• Hadron Spin Dynamics
• Spin-independent and double-spin cos(phi) asymmetries in semi-inclusive pion electroproduction
• Physical Implications of the Extrapolation and Statistical Bootstrap of the Nucleon Structure Function Ratio $\frac{F_2^n}{F_2^p}$ for Mirror Nuclei ${}^3$He and ${}^3$H
• The Quark Distributions of Baryons
• Re-examining valence quark spin distributions
• Phenomenological determination of polarized quark distributions in the nucleon
• New Perspectives for QCD: The Novel Effects of Final-State Interactions and Near-Conformal Effective Couplings
• Proton Structure Functions from Chiral Dynamics and QCD Constraints
• Delta s density in a proton and unpolarized lepton - polarized proton scatterings
• SUSY QCD corrections to W $\gamma$ production in polarized hadronic collisions
• Feasibility of a minimum bias analysis of $e^{+}{e}^{-}\to ZH\to q\bar{q}+X$ at a 250 GeV ILC
• Heavy Quarks in Polarized Structure Functions
• Quark Spin Properties at High x
• Generalized Parton Distributions of Pions. Spin Structure of Hadrons
• Octet Quark Contents from SU(3) Flavor Symmetry
• Particle-Antiparticle Asymmetries of $\Lambda$ Production in Hadron-Nucleon Collisions
• Applications of Light-Front QCD
• Neutron structure function via a maximum entropy analysis
• Hard Processes with Spin-Dependent Parton Distributions
• ${\psi }^{\prime }$ productions as a test of color-octet mechanism
• Nuclear effects in polarized proton-deuteron Drell-Yan processes
• The Spin Structure of Nucleons and Deep Inelastic Scatterings
• How to probe the spin-dependent gluon distributions
• Perturbative contribution to the sin(phi) asymmetry in inclusive pi^{+} electroproduction
• Status of Spin Physics - Experimental Summary