Predicting proton-air cross sections at root s similar to 30 TeV using accelerator and cosmic ray data

We use the high-energy predictions of a QCD-inspired parametrization of all accelerator data on forward proton-proton and antiproton-proton scattering amplitudes, along with Glauber theory, to predict proton-air cross section s at energies near root s approximate to 30 TeV. The parametrization of the proton-proton cross section incorporates analyticity and unitarity and dem ands that the asymptotic proton is a black disk of soft partons. By compari ng with the p-air cosmic ray measurements, our analysis results in a constr aint on the inclusive particle production cross section.