The problem of the Coulomb corrections to inelastic electron scattering cross sections is treated in the distorted wave Born approximation (DWBA) using electron wave functions evaluated in the second Born approximation. The formalism is developed for magnetic multipole transitions in a manner analogous to the method developed by Cutler for Coulomb transitions, in which the nuclear and electron physics are represented by separate factors in the integrand of a double integral expression for the cross section. Since the nuclear factor turns out to be simply the inelastic form factor in the first Born approximation, the usual problem of having to specify the transition current density is avoided. The Coulomb correction is considered in detail for $M1\mathrm{}$ transitions, and numerical comparison with "exact" DWBA results is presented.

NUCLEAR REACTIONS Coulomb corrections to $M\lambda$ inelastic electron scattering. Calculated in DWBA using 2nd BA wave functions.

• Received 21 January 1975

DOI:https://doi.org/10.1103/PhysRevC.11.1514