Polarized structure function $g_2$ in the CM bag model

Abstract

The spin-dependent structure functions $g_1(x)$, $g_2(x)$, $g_2^{WW}(x)$ and ${\bar{g}}_2(x)$ and their moments are studied in the CM bag model. The results show that (i) ${\int }_0^1{g}_2(x)dx=0$, i.e. the Burkhardt-Cottingham sum rule holds, hence $g_2(x)$ must have at least one non-trivial zero besides $x=0$ and $x=1$. (ii) ${\int }_0^1{x}^2{g}_2(x)dx$ is negative for the proton, neutron and deuteron. (iii) ${\int }_0^1{x}^2{g}_2(x)dx$ is about one order of magnitude smaller than ${\int }_0^1{x}^2{g}_1(x)dx$, hence the twist-3 matrix element is approximately equal to the twist-2 matrix element. The results are compared with most recent data and predictions from the MIT bag model, lattice QCD and QCD sum rules.

29 pages, revtex, uses epsfig.sty, 12 ps figures included

References in corpus (15)

• The theory and phenomenology of polarized deep inelastic scattering
• Measurement of the Spin-Dependent Structure Function $g_1(x)$ of the Proton
• Measurements of the Proton and Deuteron Spin Structure Function g2 and Asymmetry A2
• ERRATUM TO: Power corrections $1/Q^2$ to parton sum rules for deep inelastic scattering from polarized targets
• Polarized and Unpolarized Nucleon Structure Functions from Lattice QCD
• Spin Asymmetry in Muon--Proton Deep Inelastic Scattering on a Transversely-Polarized Target
• Q^2-Dependence of the Proton's G_1 Structure Function Sum Rule
• QCD Sum Rule Calculation of Twist-3 Contributions to Polarized Nucleon Structure Functions
• Gluon Spin in the Nucleon
• Instanton contributions to the $\tau$ decay widths
• Mesonic Corrections to the Shape of Quark Distributions
• OPE analysis for polarized deep inelastic scattering
• Spin Structure Function $g_2$ and Twist-3 Operators in QCD
• Model Calculation of Nucleon Structure Functions
• The Center-of-Mass of A Few-Body Quantum System In An Effective Central Field

Cited by in corpus (30)

• Measurements of the Proton and Deuteron Spin Structure Functions g1 and g2
• Precision Measurement of the Neutron Spin Asymmetries and Spin-dependent Structure Functions in the Valence Quark Region
• Precision Measurement of the Proton and Deuteron Spin Structure Functions g2 and Asymmetries A2
• A Study of Off-Forward Parton Distributions
• Spin Structure of the Nucleon - Status and Recent Results
• Quark-Hadron Duality in Electron Scattering
• Quark-hadron duality in electron scattering
• The Spin Structure of the Nucleon
• Measurement of the Proton and Deuteron Spin Structure Functions g2 and Asymmetry A2
• Measurement of the Neutron Spin Structure Function g2n and Asymmetry A2n
• Hadron Structure Functions in a Chiral Quark Model: Regularization, Scaling and Sum Rules
• Nucleon spin structure functions at NNLO in the presence of target mass corrections and higher twist effects
• Calculations of Higher Twist Distribution Functions in the MIT Bag Model
• Measurements of $d_2^n$ and $A_1^n$: Probing the neutron spin structure
• Polarized Structure Functions g_2 (x) in the Chiral Quark Soliton Model
• Revealing Color Forces with Transverse Polarized Electron Scattering
• A Precision Measurement of the Neutron Twist-3 Matrix Element $d_2^n$: Probing Color Forces
• Drell-Yan double-spin asymmetry A_{LT} in polarized p\bar{p} collisions: Wandzura-Wilczek contribution
• An Analysis of the Next-to-Leading Order Corrections to the g_T(=g_1+g_2) Scaling Function
• Target mass corrections and higher twist effects in polarized deep-inelastic scattering
• Polarized GPDs and structure functions of $\rho$ meson
• A QCD Analysis of Polarised Parton Densities
• Nucleon Structure Functions in the Three Flavor NJL Soliton Model
• Target mass corrections and twist-3 in the nucleon spin structure functions
• The spin dependent structure functions of the nucleon
• Recent data analysis to revisit the spin structure function of nucleon in Laplace space
• Target mass corrections to matrix elements in nucleon spin structure functions
• Transverse Spin Structure Function g2(x, Q2 ) in the Valon model
• Modified Wandzura-Wilczek Relation with the Nachtmann Variable
• Nucleon spin structure functions, considering target mass correction and higher twist effects at the NNLO accuracy and their transverse momentum dependence