Electron-positron pair production by an electron in a magnetic field in   the resonant case
  Resonant e+e- pair production by an electron in a magnetic field near the process threshold has been analytically studied. Using the Nikishov's theorem an estimation of the number of events has been made in the magnetic field equivalent to laser wave in the SLAC experiment [D.Burke et.al. Phys. Rev. Lett.79, 1626 (1997)]. The obtained estimation is in reasonable agreement with the experimental data. 
O. P. Novak and R. I. Kholodov
physics.plasm-ph hep-ph