Elastic proton-proton and pion-proton scattering in holographic QCD

Abstract

The elastic proton-proton and pion-proton scattering processes are investigated in the framework of holographic QCD. Considering the Pomeron and Reggeon exchange in the Regge regime, the total and differential cross sections are calculated. In the model setup, the Pomeron and Reggeon exchange are described by the Reggeized spin-2 glueball and vector meson propagator, respectively. For the differential cross sections, contributions of the Coulomb interaction are also taken into account. Adjustable parameters involved in the model are determined with the experimental data, and it is presented that the resulting cross sections are consistent with the data in a wide kinematic region.

Figures (7)

• Figure 1: The left and right Feynman diagrams represent the $pp$($p\bar{p}$) scattering with the Pomeron and Reggeon exchange in the $t$-channel, respectively.
• Figure 2: The total cross section of the $pp$ and $p\bar{p}$ scattering as a function of $\sqrt{s}$. Our calculations are compared with the results obtained by the COMPETE Collaboration COMPETE:2002jcr. The experimental data are taken from Ref. ParticleDataGroup:2020ssz.
• Figure 3: The total cross section of the $\pi p$ scattering as a function of $\sqrt{s}$. The solid and dashed curves represent our calculations for the $\pi^- p$ and $\pi^+ p$ scattering, respectively. The experimental data are taken from Ref. ParticleDataGroup:2022pth.
• Figure 4: The differential cross section of the $p \bar{p}$ scattering as a function of $|t|$. The dashed curves represent our calculations, and the experimental data are depicted by stars with error bars.
• Figure 5: The differential cross section of the $\pi^+ p$ scattering as a function of $|t|$. The dashed curves represent our calculations, and the experimental data are depicted by stars with error bars.