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A phenomenological method of analysis for heavy-ion elastic scattering data at intermediate energies is proposed within the framework of the optical limit approximation of the Glauber multiple scattering theory. The essential point of our method is to evaluate the NN scattering amplitude in terms of a phenomenological effective NN potential the parameters of which are varied to fit the experimental data. It is applied to analyze 12C–12C elastic scattering data in the energy range of 25–200 MeV/nucleon with a good degree of success.

Working within the framework of Coulomb modified Glauber theory, we calculate a particle total reaction cross sections for 12 C, 16 0, 28 Si, 40 > 48 Ca, 58 -60 Ni and 124 Sn at medium energies in the rigid projectile model using the parameters of the phenomenological N-a amplitude. A comparison with the available experimental data shows that, in general, the results of the present calculation are in much better agreement with the data compared to those of the optical limit calculation using the free NN total cross sections.

Coulomb modified Glauber model has been applied to calculate α total reaction cross-section for 12 C , 16 O and 40 Ca nuclei in the rigid projectile model using microscopic N-α amplitude which is evaluated in terms of NN scattering amplitude parameters. Using realistic densities for target nuclei and the same input information, we find that the predictions of the rigid projectile approximation for α reaction cross sections are, in general, in better agreement with the experimental data than those of the optical limit approximation.

We study the effect of the non-eikonal corrections on the determination of heavy-ion optical potential from the diffraction model phase shifts at intermediate energies. Considering the case of a 12 C-12 C system at 1016 MeV and the McIntyre parametrization for the diffraction model phase shifts, we find that the effect is significant for the imaginary potential around the diffraction radius.

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Applying a Coulomb correction factor to the Glauber model we have derived a closed expression for α-nucleus total reaction cross section, σ R. Under the approximation of rigid projectile model, the elastic S-matrix element Sel(b) is evaluated from the phenomenological N–α amplitude and a Gaussian fit to the Helm's model form factor. Excellent agreements with the experimental data have been achieved by performing two-parameter fits to the α-nucleus σ R data in the energy range about 75 to 193 MeV. One of the parameters was found to be energy independent while the other, as expected, shows the energy dependence similar to that of N–α total cross section.