Explicit Model Realizing Parton-Hadron Duality

Details Explicit Model Realizing Parton-Hadron Duality Explicit Model Realizing Parton-Hadron Duality

2012-04-10

arxiv.org/abs/1204.2216v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 8 figures

Scientific paper

We present a model that realizes both resonance-Regge (Veneziano) and parton-hadron (Bloom-Gilman) duality. We first review the features of the Veneziano model and we discuss how parton-hadron duality appears in the Bloom-Gilman model. Then we review limitations of the Veneziano model, namely that the zero-width resonances in the Veneziano model violate unitarity and Mandelstam analyticity. We discuss how such problems are alleviated in models that construct dual amplitudes with Mandelstam analyticity (so-called DAMA models). We then introduce a modified DAMA model, and we discuss its properties. We present a pedagogical model for dual amplitudes and we construct the nucleon structure function F2(x,Q2). We explicitly show that the resulting structure function realizes both Veneziano and Bloom-Gilman duality.

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