Modeling quark-hadron duality in polarization observables

Abstract

We apply a model for the study of quark-hadron duality in inclusive electron scattering to the calculation of spin observables. The model is based on solving the Dirac equation numerically for a scalar confining linear potential and a vector color Coulomb potential. We qualitatively reproduce the features of quark-hadron duality for all potentials considered, and discuss the onset of scaling and duality for the responses, spin structure functions, and polarization asymmetries. Duality may be applied to gain access to kinematic regions which are hard to access in deep inelastic scattering, namely for $x_{Bj}\to 1$, and we discuss which observables are most suitable for this application of duality.

References in corpus (14)

• Generalized Parton Distributions
• Neutrino-pasta scattering: the opacity of nonuniform neutron-rich matter
• 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
• Measurement of the Proton Spin Structure Function $g_1(x,Q^2)$ for $Q^2$ from 0.15 to 1.6 GeV${}^2$ with CLAS
• Symmetry breaking and quark-hadron duality in structure functions
• Light-flavor sea-quark distributions in the nucleon in the SU(3) chiral quark soliton model (II) -- theoretical formalism --
• Parton-Hadron Duality in Unpolarised and Polarised Structure Functions
• Locality of quark-hadron duality and deviations from quark counting rules above resonance region
• Modeling quark-hadron duality for relativistic, confined fermions
• Local Duality and Charge Symmetry Violation in Quark Distributions
• Operator Product Expansion and Quark-Hadron Duality: Facts and Riddles
• Electromagnetic response of confined Dirac particles
• Quark-Hadron Duality and Scaling in Reduced QCD

Cited by in corpus (3)

• Regge trajectories of Excited Baryons, quark-diquark models and quark-hadron duality
• Scaling of Dirac Fermions and the WKB approximation
• Reduced nuclear helicity amplitudes for deuteron electrodisintegration and other processes