Eikonal Expansion

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Abstract
A systematic study is made of high-energy scattering in nonrelativistic quantum mechanics. Approximate amplitudes are obtained for the scattering of a high-energy projectile off a single particle and off a compound system. Our results hold for all momentum transfers. Near the forward direction, they reduce to the wellknown Glauber formulas, and for large momentum transfers, the leading terms are seen to correspond to the Mandelstam-cut diagrams.