On Radiative Corrections for Electron Scattering

A relativistic treatment of the radiative correction of order $\frac{e^2}{\hslash c}$ to the elastic scattering cross section leads to the following results: (a) For the scattering in an electrostatic field of a particle described by the Pauli-Weisskopf theory, the correction is finite and is given by (3). (b) For the scattering of a Dirac electron in an electrostatic field, the correction diverges logarithmically and is positive. (c) The convergence or divergence of the correction depends critically on the type of scattering potential considered.