Abstract
Scattering solutions of the second-order Dirac equation for the case of the Coulomb potential and which are correct to first order in the coupling constantZe 2/hc are investigated and found to describe pure Coulomb scattering equally well as the Sommerfeld-Maue wave functions. Errors introduced by the use of these solutions are studied in a numerical calculation of cross sections for nuclear electric-quadrupole excitation by high-energy electrons. The use of these wave functions is suggested for simplified calculations of lowest-order Coulomb corrections to Born approximation results for various electron-nucleus processes.
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Scheck, F., Stingl, M. Approximate scattering solutions of the dirac equation for electron-nucleus processes in light nuclei. Z. Physik 209, 93–110 (1968). https://doi.org/10.1007/BF01379794
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DOI: https://doi.org/10.1007/BF01379794