Bremsstrahlung and Pair Production in the Field of Free Electrons

A formula is given for the doubly differential cross section of electron-electron bremsstrahlung which is exact in lowest-order perturbation theory. Angular distributions and energy spectra of the emitted photon are calculated in the center-of-mass system and the laboratory system. The cross section for pair production in the field of an electron (triplet production) can be derived from the analogous bremsstrahlung formula using the substitution rule. Angular distributions and energy spectra of the produced positron as well as the total cross section for triplet production are computed in the laboratory system. The results for bremsstrahlung and pair production are compared with previous theoretical calculations