Elastic pion-proton and pion-pion scattering via the holographic Pomeron and Reggeon exchange

TL;DR

This paper models elastic pion-proton and pion-pion scattering using holographic QCD, successfully predicting cross sections via Pomeron and Reggeon exchange consistent with experimental data.

Contribution

It introduces a holographic QCD approach to describe Regge regime scattering, incorporating Pomeron and Reggeon exchanges with parameter fitting and parameter-free predictions.

Findings

Predicted differential cross sections match experimental data.

Model captures energy dependence of Pomeron and Reggeon contributions.

Parameters fitted to total cross section data.

Abstract

The elastic pion-proton and pion-pion scattering are studied in a holographic QCD model, focusing on the Regge regime. Taking into account the Pomeron and Reggeon exchange, which are described by the Reggeized $2^{++}$ glueball and vector meson propagator respectively, the total and differential cross sections are calculated. The adjustable parameters involved in the model are determined with the experimental data of the pion-proton total cross sections. The differential cross sections can be predicted without any additional parameters, and it is shown that our predictions are consistent with the data. The energy dependence of the Pomeron and Reggeon contribution is also discussed.