Duality relations in proton diffraction dissociation and in DIS

TL;DR

This paper explores the application of duality principles to connect proton resonance phenomena with diffraction dissociation and DIS structure functions, revealing underlying relationships in hadronic physics.

Contribution

It introduces a novel duality-based framework linking proton resonances, diffraction dissociation, and DIS structure functions across different kinematic regimes.

Findings

Resonances in missing mass are related to diffraction dissociation.

Hadronic resonances in DIS are connected to low-x structure functions.

Duality provides a unified description of resonance and continuum regions.

Abstract

We use duality to relate resonances in missing mass $M$ to the large-mass diffraction dissociation of protons. In deep inelastic lepton-hadron scattering (DIS), hadronic resonances are related by duality in $Q^2$ to the low-$x$, smooth behaviour of the DIS structure functions.