Quark-Hadron Duality

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

Quark-hadron duality is an interesting phenomenon that occurs in many different processes. It was first observed in inclusive electron scattering by Bloom and Gilman, and has been confirmed recently by high precision data from Jefferson Lab. The data show that the structure function in the resonance region averages to the scaling curve. While the phenomenon is well established experimentally, our current theoretical understanding is still quite limited. In addition to its great intrinsic interest in connecting the quark-gluon and hadronic pictures, an understanding of quark-hadron duality could lead to important benefits in extending the applicability of scaling into previously inaccessible regions, namely towards high x_Bj. I will focus on recent theoretical efforts to model duality, using a relativistic, confining model for scalar quarks. With a few, very basic assumptions, one can qualitatively reproduce the features seen in the data - local and global duality. I will also present scaling variables and scaling functions suitable for the investigation of duality in the low Q^2 region.

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