Abstract

The importance of analyzing the off-shell effects due to scattering by nonlocal potentials is emphasized. Analytical expressions for l-wave off-shell wavefunctions associated with Jost (irregular) and physical (outgoing wave) boundary conditions are derived for an N-term separable potential by using a differential equation approach. The half-off-shell and fully off-shell T matrices are expressed in terms of appropriate Jost functions, Fredholm determinants, and transforms of the form factors of the potential. The general results presented are then used to construct exact expressions for T matrices for Tabakin, Beregi, and Mongan potentials. In limiting cases, each of our results can be seen to yield the off-shell T matrix for the one-term Yamaguchi potential calculated by other techniques.

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