Some remarks on off-shell scattering in the eikonal approximation

Details Some remarks on off-shell scattering in the eikonal approximation Some remarks on off-shell scattering in the eikonal approximation

1996-03-27

arxiv.org/abs/nucl-th/9603040v1

Nucl.Phys. A623 (1997) 519-528

Physics

Nuclear Physics

Nuclear Theory

12 pages, uuencoded PS files for text and figs

Scientific paper

10.1016/S0375-9474(97)88423-0

Using the Abel inversion for the eikonal phase as function of the interaction we derive simple integral relations between half and on-shell eikonal phases. A frequently used short-range approximation for the half off-shell phase and profile appears supported by the above-mentioned relation. We work out some examples and also address the half off-shell eikonal phase pertinent to a diffractive amplitude. The latter is relevant for a calculation of selected transparencies ${\cal T}$ of nuclei for a proton, knocked-out in selected semi-inclusive (SI) $A(e,e'p)X$ reactions. Some numerical results for ${\cal T}$ are given.

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