Quark-hadron duality: resonances and the onset of scaling

Abstract

We examine the origin of Bloom-Gilman duality and the relationship between resonances and scaling in deep-inelastic scattering. A simple quantum mechanical model is used to illustrate the essential features of Bloom-Gilman duality at low momentum transfer. As an application of local duality, we discuss model-independent relations between structure functions at x ~ 1 and elastic electromagnetic form factors.

Comments: 10 pages, 4 figures, extended version of invited talks presented at the Workshop on the Physics of Excited Nucleons, Mainz (March, 2001), Workshop on Lepton Scattering, Hadrons and QCD, Adelaide (March-April, 2001), and the 3rd International Conference on Perspectives in Hadronic Physics, Trieste (May, 2001)