Two-electron excitations in helium-like ions by inelastic photon scattering

Inelastic photon scattering by helium atoms and helium-like ions with simultaneous excitation of the two-electron transition 1s ²→2s ² is examined in the nonrelativistic energy range I≪ω≪m (I is the ionization potential, ω is the photon energy, m is the electron mass, and ℏ=c=1). The electrons are assumed to be moving in the Coulomb field of the nucleus, and the electron-electron interaction is taken into account in the lowest perturbation order. The differential and total cross sections of the process and the autoionization width of the 2s ² energy level are calculated. The numerical value of the autoionization width is found to agree with the results of the more rigorous calculations of other researchers. Zh. éksp. Teor. Fiz. 113, 539–549 (February 1998)