Explicit Model Realizing Parton-Hadron Duality

TL;DR

This paper introduces a modified dual amplitude model that unifies resonance-Regge and parton-hadron duality, providing a comprehensive framework for nucleon structure functions consistent with both dualities.

Contribution

The paper develops a modified DAMA model that overcomes limitations of the Veneziano model and explicitly demonstrates duality in nucleon structure functions.

Findings

The model successfully reproduces resonance and scaling behaviors.

It demonstrates duality in the nucleon structure function F2.

The modified DAMA model addresses unitarity and analyticity issues.

Abstract

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.