The origins of quark-hadron duality: How does the square of the sum become the sum of the squares?

Abstract

Bloom-Gilman duality demonstrates empirically that the electroproduction of $N^{\ast }$'s at low momentum transfers averages smoothly around the scaling curve measured at large momentum transfers. The latter is proportional to the sum of the squares of the constituent charges whereas the former involves the coherent excitation of resonances and is driven by the square of summed constituent charges. We determine the minimal necessary conditions for this equality to be realised so that duality can occur and consider the implications for a range of processes that may be studied soon at CEBAF.

9 pages

Cited by in corpus (51)

• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• Quark-hadron duality in electron scattering
• Dispersion relations and subtractions in hard exclusive processes
• Applications of quark-hadron duality in F2 structure function
• Evidence for Quark-Hadron Duality in the Proton Spin Asymmetry $A_1$
• Determination of the Proton Spin Structure Functions for 0.05 < Q^2 < 5 GeV^2 using CLAS
• Quark-Hadron Duality in Structure Functions
• Symmetry breaking and quark-hadron duality in structure functions
• Quark-Hadron Duality in Spin Structure Functions g1p and g1d
• Proton Spin Structure in the Resonance Region
• Hybrid meson properties in Lattice QCD and Flux Tube Models
• New method for extracting neutron structure functions from nuclear data
• Deep exclusive charged $\pi$ electroproduction above the resonance region
• Semi-Inclusive Charged-Pion Electroproduction off Protons and Deuterons: Cross Sections, Ratios and Access to the Quark-Parton Model at Low Energies
• Quark-hadron duality in neutrino scattering
• Pionic transparency in semi-exclusive electroproduction off nuclei
• Pedagogic model for Deeply Virtual Compton Scattering with quark-hadron duality
• Deeply inelastic pions in the exclusive reaction $p(e,e^{\prime }{\pi }^{+})n$ above the resonance region
• The Onset of Quark-Hadron Duality in Pion Electroproduction
• Quark-hadron duality in a relativistic, confining model
• Quark-Hadron Duality in Neutron (3He) Spin Structure
• Quark-hadron duality and truncated moments of nucleon structure functions
• Locality of quark-hadron duality and deviations from quark counting rules above resonance region
• Hadron mass corrections in semi-inclusive deep-inelastic scattering
• Resonant contributions to inclusive nucleon structure functions from exclusive meson electroproduction data
• The light scalar mesons within quark models
• Hadron mass corrections in semi-inclusive deep inelastic scattering
• Confirmation of quark-hadron duality in the neutron F_2 structure function
• Quark-Hadron Duality in the Rein-Sehgal Model
• Direct observation of quark-hadron duality in the free neutron F_2 structure function
• Modeling quark-hadron duality for relativistic, confined fermions
• Unpolarized structure functions at Jefferson Lab
• Scaling of Dirac Fermions and the WKB approximation
• Resonant contributions to polarized proton structure functions
• Duality in semi-inclusive pion electroproduction
• Higher twists in the pion structure function
• Measurement of the Pion and Photon Light-Cone Wave Functions by Diffractive Dissociation
• The Mystery of Bloom-Gilman Duality: A Light Front Holographic QCD Perspective
• Target mass corrections and twist-3 in the nucleon spin structure functions
• Ratios of 15N/12C and 4He/12C inclusive electroproduction cross sections in the nucleon resonance region
• PQCD Analysis of Parton-Hadron Duality
• Observation of quark-hadron duality in gamma*-p helicity cross sections
• Spin Response of the Nucleon in the Resonance Region
• Effect of bound nucleon internal structure change on nuclear structure functions
• On baryon-antibaryon coupling to two photons
• Quark-Hadron Duality and Scaling in Reduced QCD
• Restricted locality of quark-hadron duality in exclusive meson photoproduction reactions above the resonance region
• Asymptotic Freedom for Non-Relativistic Confinement
• Appearance of quark-hadron duality in the Rein-Sehgal model
• Explicit Model Realizing Parton-Hadron Duality
• Quark-hadron-duality in the charmonium and upsilon system