Parton Sum Rules and Improved Scaling Variable

Abstract

The effect from quark masses and transversal motion on the Gottfried, Bjorken, and Ellis-Jaffe sum rules is examined by using a quark-parton model of nucleon structure functions based on an improved scaling variable. Its use results in corrections to the Gottfried, Bjorken, and Ellis-Jaffe sum rules. We use the Brodsky-Huang-Lepage prescription of light-cone wavefunctions to estimate the size of the corrections. We constrain our choice of parameters by the roughly known higher twist corrections to the Bjorken sum rule and find that the resulting corrections to the Gottfried and Ellis-Jaffe sum rules are relevant, though not large enough to explain the observed sum rule violations.

latex, with 1 postscript figure, to be published in Phys.Lett.B

References in corpus (12)

• The theory and phenomenology of polarized deep inelastic scattering
• Measurement of the Spin-Dependent Structure Function $g_1(x)$ of the Proton
• Analysis of the Pion Wave Function in Light-Cone Formalism
• Melosh rotation: source of the proton's missing spin
• Wavefunction-Independent Relations between the Nucleon Axial-Coupling g_A and the Nucleon Magnetic Moments
• The Proton Spin and the Wigner Rotation
• Magnetic Moments of the Baryon Decuplet in a Relativistic Quark Model
• QCD Sum Rule Calculation of Twist-3 Contributions to Polarized Nucleon Structure Functions
• QCD Sum Rule Calculation of Twist-4 Corrections to Bjorken and Ellis-Jaffe Sum Rules
• Flavour Distributions in the Nucleons: SU(2) Sea Asymmetry or Isospin Symmetry Breaking?
• Spin Structure of the Pion in a Light-Cone Representation
• Spin Force Dependence Of Nucleon Structure Functions

Cited by in corpus (12)

• Vector meson $\omega$-$\varphi$ mixing and their form factors in light-cone quark model
• Space-like and time-like pion-rho transition form factors in the light-cone formalism
• Photon-meson transition form factors of light pseudoscalar mesons
• Light flavor asymmetry of nucleon sea
• New Sum Rules for Nucleon Tensor Charges
• Heavy quarkonium 2S states in light-front quark model
• The CDF dijet excess from intrinsic quarks
• First Extraction of Transverse Momentum Dependent Helicity Distributions
• Tetramixing of vector and pseudoscalar mesons: A source of intrinsic quarks
• Proton spin in a light-cone chiral quark model
• Quark-antiquark asymmetry of helicity distributions in the nucleon sea
• The Quark Distributions of Baryons