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Comparison of approximate methods for multiple scattering in high-energy collisions. II
Phys. Rev. D 13, 346 – Published 15 January, 1976
DOI: https://doi.org/10.1103/PhysRevD.13.346
Abstract
The scattering in one dimension of a particle by a target of like particles in a bound state has been studied. The exact result for the transmission probability has been compared with the predictions of the Glauber theory, the Watson optical potential model, and the adiabatic (or fixed scatterer) approximation. The approximate methods work well only at energies well above the binding energy per target particle. The adiabatic approximation works best and the Watson optical potential model is second best. The Watson method is found to work better when the kinematics suggested by Foldy and Walecka are used rather than that suggested by Watson, that is to say, when the two-body matrix is calculated with the nucleon-target reduced mass instead of the nucleon-nucleon reduced mass.
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