Ultra-high Energy Predictions of proton-air Cross Sections from Accelerator Data

Abstract

We predict ${\sigma }_{p-\mathrm{air}}^{\mathrm{prod}}$, the proton--air inelastic production cross section, at $pp$ center-of-mass energies $2\le \sqrt{s}\le 100000$ TeV, using high energy predictions from a saturated Froissart bound parameterization of accelerator data on forward $\bar{p}p$ and $pp$ scattering amplitudes, together with Glauber theory. The parameterization of the $\bar{p}p$ and $pp$ cross sections incorporates analyticity constraints and unitarity, allowing accurate extrapolations to ultra-high energies. Our predictions are in excellent agreement with cosmic ray extensive air shower measurements, both in magnitude and in energy dependence

arXiv comment4 pages, 4 figures, 1 table, manuscript in .TEX

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Cited by in corpus (10)

• Hadronic Multiparticle Production at Ultra-High Energies and Extensive Air Showers
• Ultra-High-Energy Cosmic Rays
• Proton-air cross section measurement with the ARGO-YBJ cosmic ray experiment
• Introduction to the physics of the total cross-section at LHC: A Review of Data and Models
• Measurement of the Proton-Air Cross Section with Telescope Array's Middle Drum Detector and Surface Array in Hybrid Mode
• On the measurement of the proton-air cross section using air shower data
• Update on tests of the Cen A neutron-emission model of highest energy cosmic rays
• Ultra-high Energy Predictions of Proton-Air Cross Sections from Accelerator Data: an Update
• Ultra High-Energy Interaction of CR protons
• New physics, the cosmic ray spectrum knee, and $pp$ cross section measurements