Screening Effects in Atomic Pair Production below 5 MeV
Phys. Rev. A 6, 2049 – Published 1 December, 1972Erratum Phys. Rev. A 7, 1806 (1973)
DOI: https://doi.org/10.1103/PhysRevA.6.2049
Abstract
Quantitative predictions for atomic-electron screening effects in low-energy pair production follow from the knowledge that the small-distance shape of screened-electron and positron continuum wave functions is close to that of point-Coulomb wave functions of shifted energy. These predictions are verified by making exact numerical calculations in representative cases. The energy-shift normalization theory is then used in conjunction with the point-Coulomb results of Øverbø to obtain predictions for atomic-pair-production energy distributions and total cross sections for photon energies from threshold to 5 MeV. Atomic-electron screening effects cause appreciable modifications of the total cross sections for photon energies below 1.5 MeV and continue to have a major effect on some portions of the energy distribution at higher photon energies. Results are also compared with Bethe-Heitler predictions and with experiments.