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

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