A simple analytical formula is derived for the total rate of small angle radiative Bhabha scattering, using the no-recoil approximation. This expression illustrates how radiative processes soften the forward angle singularity so that the cross-section for all electrons which have radiated an energy larger that a given amount ΔE, is only logarithmically divergent as mₑ→0. Estimate of the total integrated rate at a \-factory are given, and a comparison is made with existing calculations.
Pancheri G. (Fri,) studied this question.