P,2pReactions With Divers Potentials

Abstract

The $p\ensuremath{-}p$ cross sections relevant to a factorized-impulse-approximation treatment of ($p,2p$) reactions from 150 to 350 MeV are calculated. Several on-shell prescriptions are used and compared with the half-off-shell prescription suggested by the Faddeev-Watson multiplescattering series. Four phenomenological potentials, Hamada-Johnston, Bryan-Scott III, Reid hard core, and Reid soft core, are investigated as well as three potentials which are phase-shift equivalent to the Reid soft-core potential. We find significant differences between the various prescriptions for all of the potentials. We also observe a wide range in the predictions on the various phenomenological potentials for each prescription. However, the ratio of the half-shell cross section to the on-shell cross section is remarkably insensitive to the choice of potential, especially where the half-shell prescription is needed. This suggests a simple method for extrapolating from the elastic scattering data to the appropriate half-shell cross section.