Journal of Physics B Atomic and Molecular Physics

Large angle behaviour of the scattering amplitude in the narrow wave packet approximation

Sergej A. Lebedeff

Published Jun 1, 1971• 1 citation

Abstract

Investigation of the large angle scattering behaviour of the narrow wave packet approximation is made. First an expression is derived for the scattering amplitude in the narrow wave packet approximation when the potential is arbitrary. Then the same expression is derived for the case when a potential is spherically symmetric. In many aspects the approximation behaves as Jeffrey's approximation. Since the narrow wave packet approximation breaks down in the vicinity of the singularity of a potential, the validity of the approximation for the case when the potential is short range and has a singularity near the origin is investigated.

DOI: 10.1088/0022-3700/4/6/012

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