To describe elastic and inelastic scattering, Glauber theory has been used often at an energy higher than 1 GeV with considerable success. It is also interesting to apply this model to scattering at lower energies to define its limits of validity. Cross sections and polarization values for proton scattering are calculated at 75, 155, 315, and 1040 MeV. The results for optical potentials in an exact solution or in the eikonal approximation are compared. First order corrections due to Wallace are also included. These improve the fit at small momentum transfers.

NUCLEAR REACTIONS ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}(p, p)$, $E=75-1000\mathrm{}$ MeV; used Glauber model, calculated $\sigma \left(\theta \right)$, $P$ eikonal approximation and phase additivity effects.

• Received 22 July 1974

DOI:https://doi.org/10.1103/PhysRevC.11.1537