Quark Model Description of Polarised Deep Inelastic Scattering and the prediction of $g_2$

Abstract

We show how the operator product expansion evaluated in the approximation of ignoring gluons leads to the covariant formulation of the quark parton model. We discuss the connection with other formulations and show how the free quark model prediction, $g_2=0$, changes smoothly into the Wandzura-Wilczek (WW) relation for quark masses small relative to the nucleon mass. Previous contradictory parton model predictions are shown to follow from an inconsistent treatment of the mass shell conditions. The description is extended to include quark mass corrections.

Latex 17 pages plus 4 figures (uuencoded)

References in corpus (2)

• The theory and phenomenology of polarized deep inelastic scattering
• Measurement of the Spin-Dependent Structure Function $g_1(x)$ of the Proton

Cited by in corpus (25)

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• QCD Analysis of the Polarized World Data
• QCD Analysis of Polarized Deep Inelastic Scattering Data
• The Theory of Deeply Inelastic Scattering
• On the Twist 2 and Twist 3 Contributions to the Spin-dependent Electroweak Structure Functions
• Measurement of the Proton and Deuteron Spin Structure Functions g2 and Asymmetry A2
• Transverse momentum dependent distribution functions in a covariant parton model approach with quark orbital motion
• The massless three-loop Wilson coefficients for the deep-inelastic structure functions $F_2,F_L,x{F}_3$ and $g_1$
• The Complete $O({\alpha }_s^2)$ Non-Singlet Heavy Flavor Corrections to the Structure Functions $g_{1,2}^{ep}(x,Q^2)$, $F_{1,2,L}^{ep}(x,Q^2)$, $F_{1,2,3}^{\nu (\bar{\nu })}(x,Q^2)$ and the Associated Sum Rules
• Modelling the nucleon structure
• Transverse-momentum dependent parton distribution functions beyond leading twist in quark models
• The 3-Loop Non-Singlet Heavy Flavor Contributions to the Structure Function g_1(x,Q^2) at Large Momentum Transfer
• Calculations of Higher Twist Distribution Functions in the MIT Bag Model
• The Polarized Two-Loop Massive Pure Singlet Wilson Coefficient for Deep-Inelastic Scattering
• Target mass and finite $t$ corrections to diffractive deeply inelastic scattering
• The Logarithmic Contributions to the Polarized and Operator Matrix Elements in Deeply Inelastic Scattering
• Examination of Wandzura-Wilczek Relation for $g_2(x,Q^2)$ in pQCD
• Target mass and finite momentum transfer corrections to unpolarized and polarized diffractive scatterin
• The unpolarized two-loop massive pure singlet Wilson coefficients for deep-inelastic scattering
• $O({\alpha }_s^2$) Polarized Heavy Flavor Corrections}to Deep-Inelastic Scattering at $Q^2\gg m^2$
• Twist-2 Heavy Flavor Contributions to the Structure Function $g_2(x,Q^2)$
• The small-x Behavior of the Nonsinglet Polarized Structure Function g_2 in the Double Logarithmic Approximation
• Quark-model relations among TMDs in the parton model
• Parton model description of quark and antiquark correlators and TMDs
• Nucleon spin structure functions, considering target mass correction and higher twist effects at the NNLO accuracy and their transverse momentum dependence