With a relativistic partial-wave method we calculated numerically the positron energy-angle distributions of pair production in the field of atoms with atomic numbers Z = 1 and 92 for photons of energies k = 5m(e)c(2) and 10m(e)c(2). We have found that in this intermediate-photon-energy region, the Born approximation works fine for low-Z elements, as expected. Our partial-wave results indicate that the Born approximation prediction for the shape of positron energy-angle distributions (especially at small positron angles) is better than its prediction for positron energy spectra of pair production in this intermediate-photon-energy region. Our results also show that the shape of positron energy-angle distributions is almost independent of atomic electron screening.
