The Quark Spin Distributions of the Nucleon

Abstract

The quark helicity measured in polarized deep inelastic scattering is different from the quark spin in the rest frame of the nucleon. We point out that the quark spin distributions $\Delta q_{RF}(x)$ are connected with the quark helicity distributions $\Delta q(x)$ and the quark transversity distributions $\delta q(x)$ by an approximate relation: $\Delta q_{RF}(x)+\Delta q(x)=2\delta q(x)$. This relation will be useful in order to measure the rest frame (or quark model) spin distributions of the nucleon once the quark helicity distributions and quark transversity distributions are themselves measured. We also calculate the $x$-dependent quark transversity distributions $\delta q(x)$ and quark spin distributions $\Delta q_{RF}(x)$ in a light-cone SU(6) quark-spectator model, and present discussions on possible effect from the sea quark-antiquark pairs.

16 latex pages including a ps figure, many changes in abstract, text and references, Final version to appear in Phys.Lett.B

References in corpus (6)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Measurement of the Neutron Spin Structure Function $g_1^n$ with a Polarized ^3He Target
• Modelling quark distribution and fragmentation functions
• Interference Fragmentation Functions and the Nucleon's Transversity
• Melosh Rotation and the Nucleon Tensor Charge
• Double-Spin Transverse Asymmetries in Drell-Yan Processes

Cited by in corpus (72)

• Transverse Polarisation of Quarks in Hadrons
• Light-Cone Representation of the Spin and Orbital Angular Momentum of Relativistic Composite Systems
• The transverse momentum dependent distribution functions in the bag model
• Chiral-odd generalized parton distributions in constituent quark models
• The Spin Structure of the Nucleon
• Pretzelosity $h_{1T}^{\perp }$ and quark orbital angular momentum
• Transversity quark distributions in a covariant quark-diquark model
• Sivers function in light-cone quark model and azimuthal spin asymmetries in pion electroproduction
• Transverse Spin Structure of the Nucleon through Target Single Spin Asymmetry in Semi-Inclusive Deep-Inelastic $(e,e^{\prime }{\pi }^{\pm })$ Reaction at Jefferson Lab
• Quark Structure of $\Lambda$ from $\Lambda$-Polarization in Z Decays
• The Flavor and Spin Structure of Hyperons from Quark Fragmentation
• Vector meson $\omega$-$\varphi$ mixing and their form factors in light-cone quark model
• Drell-Yan processes, transversity and light-cone wavefunctions
• Azimuthal Spin Asymmetries of Pion Electroproduction
• Quark Wigner distributions in a light-cone spectator model
• Flavor-Spin Symmetry Estimate of the Nucleon Tensor Charge
• Nucleon Transversity Distribution from Azimuthal Spin Asymmetry in Pion Electroproduction
• Polarized Parton Distributiions and Light-Front Dynamics
• Nucleon parton distributions in a light-front quark model
• Quark tensor charge and electric dipole moment within the Schwinger-Dyson formalism
• Space-like and time-like pion-rho transition form factors in the light-cone formalism
• Experimental constraint on quark electric dipole moments
• Helicity and Transversity Distribution of Nucleon and $\Lambda$-Hyperon from $\Lambda$ Fragmentation
• Proposal for measuring new transverse momentum dependent parton distributions $g_{1T}$ and $h_{1L}^{\perp }$ through semi-inclusive deep inelastic scattering
• Proton spin structure and valence quarks
• Photon-meson transition form factors of light pseudoscalar mesons
• Spin structure functions and intrinsic motion of the constituents
• The transverse momentum dependent statistical parton distributions revisited
• Axial vector form factor of nucleons in a light-cone diquark model
• Azimuthal asymmetries in lepton-pair production at a fixed-target experiment using the LHC beams (AFTER)
• Transversity from two pion interference fragmentation
• Spin Transfers for Baryon Production in Polarized pp Collisions at RHIC-BNL
• Quark to $\Lambda$-hyperon spin transfers in the current-fragmentation region
• Flavor and Spin Structure of Octet Baryons at Large x
• Heavy quarkonium 2S states in light-front quark model
• The CDF dijet excess from intrinsic quarks
• First Extraction of Transverse Momentum Dependent Helicity Distributions
• Azimuthal asymmetries in single polarized proton-proton Drell-Yan processes
• Probing gluon helicity distribution and quark transversity through hyperon polarization in singly polarized pp collisions
• Quark helicity distributions in transverse momentum space and transverse coordinate space
• Probing pretzelosity $h_{1T}^{\perp }$ via the polarized proton-antiproton Drell-Yan process
• Single Target-Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering on Transversely Polarized Nucleon Target
• Rotations associated with Lorentz boosts
• Spin alignment of the high $p_T$ vector mesons in polarized pp collisions at high energies
• Electroweak properties of octet baryons in light-cone quark-diquark model
• Nucleon strange $s\bar{s}$ asymmetry to the $\Lambda /\bar{\Lambda }$ fragmentation
• Generalized form factors of the nucleon in a light-cone spectator-diquark model
• Parity-violating asymmetry of $W$ bosons produced in $p$-$p$ collisions
• The $\sin 2\varphi$ azimuthal asymmetry in single longitudinally polarized $\pi N$ Drell-Yan process
• Spin alignment of vector mesons in unpolarized hadron-hadron collisions at high energies
• Single spin asymmetry in $\pi p$ Drell-Yan process
• Left-right asymmetry in semi-inclusive deep inelastic scattering process
• Transversity generalized parton distributions in spin-3/2 particles
• Nucleon strangeness polarization from $\Lambda /\bar{\Lambda }$ hyperon production in polarized proton-proton collision at RHIC
• Three-dimensional parton distribution functions $g_{1T}$ and $h_{1L}^{\perp }$ in the polarized proton-antiproton Drell-Yan process
• How is transversity related to helicity for quarks and antiquarks inside the proton?
• Tetramixing of vector and pseudoscalar mesons: A source of intrinsic quarks
• Proton spin in a light-cone chiral quark model
• Six-dimensional light-front Wigner distributions of the proton
• Effect of sea quarks on the single-spin asymmetries $A_L^{W^{\pm }}$ in polarized pp collisions at RHIC
• Boer-Mulders function of the pion and pretzelosity distribution of the proton in the polarized pion-proton Drell-Yan process at COMPASS
• Quark-antiquark asymmetry of helicity distributions in the nucleon sea
• Probing Relativistic Spin Effects in the Nucleon by Means of Drell-Yan Processes
• Hadron Spin Dynamics
• The Quark Distributions of Baryons
• Parton model description of quark and antiquark correlators and TMDs
• Quark-model relations among TMDs in the parton model
• Octet Quark Contents from SU(3) Flavor Symmetry
• Electromagnetic stress on nucleon structure
• Double Spin Asymmetry in Semi-inclusive Deep Inelastic Scattering
• Leading and higher twist transverse momentum dependent parton distribution functions in the spectator model
• Transverse polarization distributions