Elastic Scattering of Electrons by the Coulomb Field of Nuclei Using Born Approximations
Abstract
Calculations including the second Born cross section for the elastic scattering of electrons by nuclei are performed taking a model for which the matrix elements are particularly simple. The potential corresponding to this model is a mixture of an attractive Coulomb and a repulsive Yukawa potential of range 1B and relative strength C. The density is given by ρ=(C1)δ^{3}(r)+CB^{2}4πe^{Br}r. Since the scattering is fairly insensitive to the details of the nuclear model, one can use the calculations made here to find scattering cross sections on different models by suitably choosing B and C. This is done here for the uniform density model and the results are compared with the phaseshift calculations of Acheson for 15 to 35Mev electrons. A fairly close agreement with his results is obtained up to medium elements (Z<~50).
 Publication:

Physical Review
 Pub Date:
 February 1954
 DOI:
 10.1103/PhysRev.93.502
 Bibcode:
 1954PhRv...93..502V