Complete Glauber calculations for proton-nucleus inelastic cross sections
Abstract
We perform a parameter-free calculation for the high-energy proton-nucleus scattering based on the Glauber theory. A complete evaluation of the so-called Glauber amplitude is made by using the factorization of the single-particle wave functions. The multiple-scattering or multistep processes are fully taken into account within the Glauber theory. We demonstrate that proton- 12C, 20Ne, and 28Si elastic and inelastic scattering (Jπ=0+ 2+ and 0+ 4+) processes are very well described in a wide range of the incident energies from 50 MeV to 1 GeV. We evaluate the validity of a simple one-step approximation andfind that the approximation works fairly well for the inelastic 0+ 2+ processes but not for 0+ 4+ where the multistep processes become more important. As an application, we quantify the difference between the total reaction and interaction cross sections of proton-12C, 20Ne, and 28Si collisions.
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