An asymptotic DSM theory for high-energy near-tip bremsstrahlung

Abstract

The Dirac–Sommerfeld–Maue theory for relativistic electron–nucleus bremsstrahlung at the short-wavelength limit is extended to cover an energy range from 0 to 3 MeV of the outgoing electron, irrespective of collision energy. This is achieved by using an asymptotic representation of the Sommerfeld–Maue function for the impinging electron, valid at energies above 50 MeV, as well as a partial-wave expansion for the final electronic state. The model is used to show that the analytical Sommerfeld–Maue theory is applicable for the calculation of the singly differential cross section, if the energy of the scattered electron exceeds about 3 MeV.