High-energy pion-nucleus elastic scattering

Details High-energy pion-nucleus elastic scattering High-energy pion-nucleus elastic scattering

1992-12-17

arxiv.org/abs/nucl-th/9212012v1

Physics

Nuclear Physics

Nuclear Theory

24 pages

Scientific paper

10.1103/PhysRevC.48.841

We investigate theoretical approaches to pion--nucleus elastic scattering at high energies (300 $\le T_\pi \le$ 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 $^{40}$Ca, the eikonal theory is found to be an excellent approximation to the full theory. (8 Figures available from authors)

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