We develop a QCD-based diffractive model for nucleon-nucleon and nucleon-nucleus cross sections in which the increase in the cross sections at high energies is driven by semihard parton-parton scattering. We use the model to calculate the absorptive cross section for protons on air at very high energies, and find excellent agreement with data from cosmic-ray experiments. The results can be used to extract σₜₒₜ₍ₚₚ) from σabs(p-air) in a way which is nearly independent of the input parameters. We include an approximate treatment of single-diffractive pp scattering.
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Durand et al. (1988) studied this question.
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