SOME REMARKS ON OFF-SHELL SCATTERING IN THE EIKONAL APPROXIMATION ANDAPPLICATIONS TO SEMIINCLUSIVE REACTIONS

Using the Abel inversion for the eikonal phase as function of the inte raction we derive simple integral relations between half and on-shell eikonal phases. A frequently used short-range approximation for the ha lf off-shell phase and profile appears supported by the above-mentione d relation. We work out some examples and also address the half off-sh ell eikonal phase pertinent to a diffractive amplitude. The latter is relevant for a calculation of selected transparencies Tau of nuclei fo r a proton, knocked-out in selected semi-inclusive A(e, e'p)X reaction s. Some numerical results for Tau are given. (C) 1997 Elsevier Science B.V.