  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.
