Validity of then−3scaling law in dielectronic recombination processes

Abstract

In the frame of quantum defect theory, a simplified relativistic configuration-interaction method is developed to study the dielectronic recombination (DR) processes. In this method, the infinite resonant doubly excited states involving high Rydberg states can be treated conveniently in a unified manner by interpolation. This provides an efficient method to check the validity of extrapolation based on the ${n}^{\ensuremath{-}3}$ scaling law, which is widely used to treat the DR processes involving high Rydberg states. As an example, we studied the DR processes for Li-like argon, and the results are compared with the scaling laws and the experimental measurements, respectively.