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

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

2007-05-21

arxiv.org/abs/0705.3037v1

Phys.Rev.D76:111503,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.76.111503

We predict $\sigma_{p{-}\rm air}^{\rm prod}$, 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 $\bar pp$ and $pp$ scattering amplitudes, together with Glauber theory. The parameterization of the $\bar pp$ 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

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