Locality of quark-hadron duality and deviations from quark counting rules above resonance region

Abstract

We show how deviations from the dimensional scaling laws for exclusive processes may be related to a breakdown in the locality of quark-hadron duality. The essential principles are illustrated in a pedagogic model of a composite system with two spinless charged constituents, for which a dual picture for the low-energy resonance phenomena and high-energy scaling behavior can be established. We introduce the concept of "restricted locality" of quark-hadron duality and show how this results in deviations from the pQCD quark counting rules above the resonance region. In particular it can be a possible source for oscillations about the smooth quark counting rule, as seen e.g. in the 90-degree differential cross sections for $\gamma p\to {\pi }^{+}n$.

arXiv commentThe way to present Eqs. (2), (4), (7) are changed while physics contents and calculations are left intact; Additional explanations for the forward and large-angle duality are added; Three more references are included; Version to appear on Phys. Rev. Lett

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• Photoproduction of Vector Mesons at Large Transfer
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• Perturbative Color Transparency in Electroproduction Experiments

Cited by in corpus (15)

• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• Quark-Hadron Duality in Electron Scattering
• Quark-hadron duality in electron scattering
• Cross Section Measurements of Charged Pion Photoproduction in Hydrogen and Deuterium from 1.1 to 5.5 GeV
• Determination of exotic hadron structure by constituent-counting rule for hard exclusive processes
• Quark-hadron duality and truncated moments of nucleon structure functions
• Backward-angle photoproduction of ${\pi }^0$ mesons on the proton at $E_{\gamma }$ = 1.5--2.4 GeV
• Scaling and Resonances in Elementary K^+ Lambda Photoproduction
• Modeling quark-hadron duality for relativistic, confined fermions
• The Generalized Counting Rule and Oscillatory Scaling
• Scaling of Dirac Fermions and the WKB approximation
• PQCD Analysis of Parton-Hadron Duality
• Hard Two-body Photodisintegration of 3He
• Modeling quark-hadron duality in polarization observables
• Restricted locality of quark-hadron duality in exclusive meson photoproduction reactions above the resonance region