Quark-hadron duality in a relativistic, confining model

Abstract

Quark-hadron duality is an interesting and potentially very useful phenomenon, as it relates the properly averaged hadronic data to a perturbative QCD result in some kinematic regions. While duality is well established experimentally, our current theoretical understanding is still incomplete. We employ a simple model to qualitatively reproduce all the features of Bloom-Gilman duality as seen in electron scattering. In particular, we address the role of relativity, give an explicit analytic proof of the equality of the hadronic and partonic scaling curves, and show how the transition from coherent to incoherent scattering takes place.

This paper is dedicated to the memory of our collaborator Nathan Isgur. (34 pages, 13 figures)

References in corpus (5)

• The origins of quark-hadron duality: How does the square of the sum become the sum of the squares?
• Quark-Hadron Duality in Structure Functions
• Scaling of space and timelike response of confined relativistic particles
• Final state interaction contribution to the response of confined relativistic particles
• Comment on "Nucleon elastic form factors and local duality"

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