PHYSICAL REVIEW A, vol.72, no.2, 2005 (SCI-Expanded)
We solve the perturbative electron-positron pair production exactly by calculating the second-order Feynman diagrams. We compare our result with Born methods that include Coulomb corrections. We find that a small-momentum approximation is not adequate to obtain exact Coulomb corrections and higher-order terms should also be included. We also compare the impact parameter dependence cross sections.