Polarized Nucleon Structure Functions within a Chiral Soliton Model

Abstract

We study polarized-spin structure functions of the nucleon within the bosonized Nambu-Jona-Lasinio model where the nucleon emerges as a chiral soliton. We present the electromagnetic polarized structure functions, $g_1(x)$ and $g_2(x)$ for $ep$ scattering and discuss various sum rules in the valence quark approximation. This approximation is justified because in this model axial properties of the nucleon are dominated by their valence quark contributions. We find that these structure functions are well localized in the interval $0\le x\le 1$. We compare the model predictions on the polarized structure functions with data from the E143 experiment by evolving them from the scale characteristic of the NJL-model to the scale of the data. Additionally a comparison is made with parameterized data at a momentum scale commensurate with the model calculation.

31 pages REVTeX, 4 figures, comparison with low-scale parametrization added, to appear in Phys. Rev. D

References in corpus (19)

• The theory and phenomenology of polarized deep inelastic scattering
• Measurement of the Spin-Dependent Structure Function $g_1(x)$ of the Proton
• Baryons as non-topological chiral solitons
• Next-to-Leading Order Radiative Parton Model Analysis of Polarized Deep Inelastic Scattering
• Nucleon Parton Distributions at Low Normalization Point in the Large N_c Limit
• Baryons as Chiral Solitons in the Nambu--Jona-Lasinio Model
• Measurements of the Proton and Deuteron Spin Structure Function g2 and Asymmetry A2
• Spin Asymmetry in Muon--Proton Deep Inelastic Scattering on a Transversely-Polarized Target
• Baryons as Three Flavor Solitons
• On the Q^2 Dependence of Measured Polarized Structure Funtions
• Spin Contents of Nucleons with SU(3) Breaking
• An exact sum rule for transversely polarized DIS
• Nucleon Structure Functions from a Chiral Soliton
• Model Calculation of Nucleon Structure Functions
• $1/N_C$ Corrections to $g_A$ in the Light of PCAC$
• A Study of Structure Functions for the Bag Beyond Leading Order
• The Strange Spin of the Nucleon
• Resolving Ordering Ambiguities in the Collective Quantization by Particle Conjugation Constraints
• Nucleon structure functions from a chiral soliton

Cited by in corpus (35)

• Hard Exclusive Reactions and the Structure of Hadrons
• Precision Measurement of the Neutron Spin Asymmetries and Spin-dependent Structure Functions in the Valence Quark Region
• 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
• Measurement of the Proton and Deuteron Spin Structure Functions g2 and Asymmetry A2
• Hadron Structure Functions in a Chiral Quark Model: Regularization, Scaling and Sum Rules
• Q^2-Dependence of the Neutron Spin Structure Function g_2^n at Low Q^2
• Measurements of $d_2^n$ and $A_1^n$: Probing the neutron spin structure
• Polarized Parton Distributiions and Light-Front Dynamics
• Transverse momentum distributions of quarks in the nucleon from the Chiral Quark Soliton Model
• Polarized Structure Functions g_2 (x) in the Chiral Quark Soliton Model
• Deformation Conjecture: Deforming Lower Dimensional Integrable Systems to Higher Dimensional Ones by Using Conservation Laws
• Chiral Odd Structure Functions from a Chiral Soliton
• On the NuTeV anomaly and the asymmetry of the strange sea in the nucleon
• Revealing Color Forces with Transverse Polarized Electron Scattering
• Quark scalar, axial, and pseudoscalar charges in the Schwinger-Dyson formalism
• A Precision Measurement of the Neutron Twist-3 Matrix Element $d_2^n$: Probing Color Forces
• An Analysis of the Next-to-Leading Order Corrections to the g_T(=g_1+g_2) Scaling Function
• Nucleon Structure Functions from a Chiral Soliton in the Infinite Momentum Frame
• $x-$dependence of the quark distribution functions in the $\chi$CQM${}_{\mathrm{config}}$
• Quark sea asymmetries of the octet baryons
• Nucleon structure functions and longitudinal spin asymmetries in the chiral quark constituent model
• Spin force dependence of the parton distributions: the ratio $F_2^n(x,Q^2)/F_2^p(x,Q^2)$
• Nucleon Structure Functions in the Three Flavor NJL Soliton Model
• Quark flavor distribution functions for the octet baryons in the chiral quark constituent model
• Strangeness Contribution to the Polarized Nucleon Structure Function $g_1(x)$
• Virtual photon asymmetry for confined, interacting Dirac particles with spin symmetry
• The spin dependent structure functions of the nucleon
• Electromagnetic and Axial-Vector Form Factors of the Quarks and Nucleon
• Nucleon Structure Functions from the NJL-Model Chiral Soliton
• Chiral Soliton Models and Nucleon Structure Functions
• Parton distributions in the chiral quark model: a continuum computation
• Structure Functions of the Nucleon in a Soliton Model
• Extraordinary nature of the nucleon scalar charge and its densities as a signal of nontrivial vacuum structure of QCD
• Hadron Structure Functions in a Chiral Quark Model