Modeling quark-hadron duality for relativistic, confined fermions

Abstract

We discuss a model for the study of quark-hadron duality in inclusive electron scattering 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 similarities and differences to previous models that simplified the situation by treating either the quarks or all particles as scalars. We discuss the scaling results for PWIA and FSI, and the approach to scaling using the analog of the Callan-Gross relation for y-scaling.

arXiv comment38 pages, 21 figures

References in corpus (36)

• Heavy Mesons In A Relativistic Model
• QCD Sum Rules and Applications to Nuclear Physics
• Structure Functions are not Parton Probabilities
• Q^2-Dependence of the Proton's G_1 Structure Function Sum Rule
• Valence Quark Spin Distribution Functions
• 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
• Heavy flavor decays, OPE and duality in two-Dimensional 't Hooft model
• The origins of quark-hadron duality: How does the square of the sum become the sum of the squares?
• A Vademecum on Quark-Hadron Duality
• Spin-Dependent Twist-Four Matrix Elements from g_1 Data in the Resonance Region
• Explicit Quark-hadron Duality in Heavy-light Meson Weak Decays in the 't Hooft Model
• Evidence for Quark-Hadron Duality in the Proton Spin Asymmetry $A_1$
• Parton-Hadron Duality: Resonances and Higher Twists
• Quark-Hadron Duality in Structure Functions
• Symmetry breaking and quark-hadron duality in structure functions
• Moments of the Proton F2 Structure Function at Low Q2
• Semileptonic B and Lambda_b Decays and Local Duality in QCD
• Bloom-Gilman duality of inelastic structure functions in nucleon and nuclei
• Precision Studies of Duality in the 't Hooft Model
• Pedagogic model for Deeply Virtual Compton Scattering with quark-hadron duality
• Quark-hadron duality in a relativistic, confining model
• Perturbative QCD Analysis of Local Duality in a fixed W^2 Framework
• Locality of quark-hadron duality and deviations from quark counting rules above resonance region
• Target-mass corrections and the Bloom-Gilman duality of the nucleon structure function
• The response of non-relativistic confined systems
• Final state interaction contribution to the response of confined relativistic particles
• Scaling of space and timelike response of confined relativistic particles
• Resonance-reggeon and parton-hadron duality in strong interactions
• Scaling limit of a non-relativistic model
• Deep inelastic scattering and final state interaction in an exactly solvable relativistic model
• Quark-Hadron Duality in the 't Hooft Model for Meson Weak Decays: Different Quark Diagram Topologies
• Duality in the non-relativistic harmonic oscillator quark model in the Shifman-Voloshin limit : a pedagogical example
• Confinement and scaling in deep inelastic scattering
• Electromagnetic response of confined Dirac particles
• Spacelike and timelike response of confined relativistic particles
• Asymptotic Freedom for Non-Relativistic Confinement

Cited by in corpus (11)

• Quark-hadron duality in electron scattering
• Quark-Hadron Duality in Electron Scattering
• Spin and pseudospin symmetries and the equivalent spectra of relativistic spin-1/2 and spin-0 particles
• Extraction of ${\alpha }_s$ from deep inelastic scattering at large $x$
• Quark-hadron duality and truncated moments of nucleon structure functions
• Scattering and bound states of spinless particles in a mixed vector-scalar smooth step potential
• Scaling of Dirac Fermions and the WKB approximation
• The Mystery of Bloom-Gilman Duality: A Light Front Holographic QCD Perspective
• PQCD Analysis of Parton-Hadron Duality
• Effect of bound nucleon internal structure change on nuclear structure functions
• Modeling quark-hadron duality in polarization observables