Theory of laser-induced dielectronic recombination: A case study in Helium

We present the theoretical description of laser-induced dielectronic recombination in the density matrix formalism and show how the continuum components can be eliminated. The resulting equations are applied to the calculation of specific recombination processes in Helium from the point of view of resolving the involved autoionizing states in the recombination spectrum. We examine how the shape of the spectrum depends on the laser pulse duration in processes in which the autoionizing state to which the system recombines is coupled to a bound state. In addition, we consider processes in which the autoionizing state is coupled to another autoionizing state and discuss the possibility of resolving the resonance in the recombination spectrum