We present first- and second-order corrections to the eikonal phase shifts for heavy-ion elastic scattering based on Coulomb trajectories of colliding nuclei. Including the first- and second-order corrections improves the agreement with the experimental data and the optical model result for the elastic scatterings in the ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ + ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ and ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ + ${}_{}{}^{90}{}_{}{}^{}\mathrm{Zr}$ systems at ${\mathit{E}}_{\mathrm{lab}}$=1503 MeV.

• Received 30 August 1994

DOI:https://doi.org/10.1103/PhysRevC.51.212