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The impact-parameter dependence of atomic excitation in collisions with charged heavy projectiles is obtained from the full treatment of inelastic scattering processes in a semiclassical approximation. It is demonstrated that the semiclassical result obtained from the plane-wave Born approximation is identical to the first-order perturbation result based on classical straight-line trajectories for the motion of the projectile relative to the target nucleus.
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K Taulbjerg (1977) studied this question.
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