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Numerical investigation of non-eikonal corrections to the Glauber model at intermediate energies.

The Glauber model with first- and second-order non-eikonal corrections has been applied to elastic nuclear scattering of 178- and 800-MeV protons, 180-MeV antiprotons, and 140-MeV {alpha} particles. Reasonable agreement with the corresponding partial-wave calculations is obtained for the differential cross sections, polarizations, spin rotations, and reaction cross sections. Relativistic kinematics is taken into account in such a way that the relativistic Rutherford cross section is reproduced in both the Glauber model and the optical model.