High-energy pion-nucleus elastic scattering
C. M. Chen, D. J. Ernst, M. B. Johnson
Abstract
We investigate theoretical approaches to pion--nucleus elastic scattering at high energies (300 Tπ 1 GeV). A ``model--exact'' calculation of the lowest--order microscopic optical model, carried out in momentum space and including the full Fermi averaging integration, a realistic off--shell pion--nucleon scattering amplitude and fully covariant kinematics, is used to calibrate a much simpler theory. The simpler theory utilizes a local optical potential with an eikonal propagator and includes the Coulomb interaction and the first Wallace correction, both of which are found to be important. Comparisons of differential cross sections out to beyond the second minimum are made for light and heavy nuclei. Particularly for nuclei as heavy as 40Ca, the eikonal theory is found to be an excellent approximation to the full theory. (8 Figures available from authors)
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