Abstract
We investigate the hadron-hadron total cross sections at high energies in the framework of holographic QCD. In our model setup, the involved strong interaction is described by the Brower-Polchinski-Strassler-Tan Pomeron exchange kernel, and the two form factors are obtained from the bottom-up AdS/QCD models. We show that the resulting nucleon-nucleon total cross section is consistent with the experimental data recently measured by the TOTEM collaboration at the LHC. As examples to see the general versatility of the model, we also present our analysis on the pion-nucleon and pion-pion cases, which can be predicted because all the adjustable parameters are fixed by the nucleon-nucleon data.
Highlights
Understanding the partonic structures of the hadrons is one of the most important subjects in hadron physics
The soft part is described by the parton distribution functions (PDFs) which are expressed by the Bjorken variable x and the probe energy scale Q2 and parameterized with experimental data from various scattering processes
In this report, based on Ref. [24] we present our recent analysis on total cross sections of the high energy hadron-hadron scattering in the framework of holographic quantum chromodynamics (QCD)
Summary
Understanding the partonic structures of the hadrons is one of the most important subjects in hadron physics. The soft part is described by the parton distribution functions (PDFs) which are expressed by the Bjorken variable x and the probe energy scale Q2 and parameterized with experimental data from various scattering processes. In the small x region, our knowledge is still quite poor and the parameterized PDFs have huge uncertainties, which sometimes make the predictions unreliable, because it is not easy to correctly evaluate such uncertainties in the final results In this kinematic region, the strong interaction among so many gluons with tiny momenta gives a dominant contribution to the cross section. There is no available data for the pion involved processes in the considered kinematic region, we find that our prediction for the total cross section ratio σπtoNt /σtNoNt agrees with that extracted from the well-known work with the soft Pomeron exchange done by Donnachie and Landshoff [3]
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