Some remarks on off-shell scattering in the eikonal approximation

Abstract

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 $\mathcal{T}$ of nuclei for a proton, knocked-out in selected semi-inclusive (SI) $A(e,e^{\prime }p)X$ reactions. Some numerical results for $\mathcal{T}$ are given.

12 pages, uuencoded PS files for text and figs

References in corpus (5)

• Correlation Effects in the Final-State Interaction for Quasielastic $(e,e^{\prime }p)$ Scattering
• Theoretical Interpretation of the NE18 Experiment on Nuclear Transparency in A(e,e'p) Scattering
• Nuclear correlation and finite interaction-range effects in high-energy $(e,e^{\prime }p)$ nuclear transparency
• Effect of $NN$-correlations on predictions of nuclear transparencies for protons, knocked-out in high $Q^2(e,e^{\prime }p)$ reactions
• Nuclear transparencies for nucleons, knocked-out under various semi-inclusive conditions

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