Elastic pion-proton and pion-pion scattering at high energies in holographic QCD

TL;DR

This paper models high-energy pion-proton and pion-pion scattering using holographic QCD, successfully predicting cross sections based on Pomeron exchange and gravitational form factors, with results consistent with limited experimental data.

Contribution

It introduces a holographic QCD approach to calculate scattering cross sections with minimal parameters, extending previous proton-proton studies to pion interactions.

Findings

Predicted cross sections align with existing experimental data.

Model provides testable predictions for future experiments.

Uses gravitational form factors from AdS/QCD models.

Abstract

The total and differential cross sections of high energy pion-proton and pion-pion scattering are investigated in a holographic QCD model, focusing on the Regge regime in which the Pomeron exchange gives the dominant contribution to those cross sections. The Pomeron is described by the Reggeized spin-2 particle propagator, and the hadron-Pomeron couplings are given by gravitational form factors of the hadrons, which are obtained from the bottom-up AdS/QCD models. Since the parameters, which characterize the Pomeron trajectory, have been determined in a preceding study of the proton-proton scattering, the pion-proton cross sections can be expressed with a single adjustable parameter. Once this parameter is determined by the experimental data of the pion-proton total cross section, its differential cross section and the pion-pion cross sections can be calculated without any additional parameter. Although the currently available data are limited, it is found that our calculation is consistent with those. Our predictions are explicitly shown, and the present model can be tested at the future experimental facilities.