Approximate scattering solutions of the dirac equation for electron-nucleus processes in light nuclei |
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Authors: | F Scheck M Stingl |
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Institution: | 1. Physikalisches Institut der Universit?t Freiburg i. Br., Deutschland
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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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