Dielectronic recombination along high Rydberg states of Mg+ and Si11+ ions

Abstract

In solving the multi-channel equation, I got the analytical expression of the multi-channel wave functions in terms of the solutions of the corresponding homogeneous equations. The homogeneous solutions are described in WKB Wenzel (1926 Z. Phys. 38 518) representation for both open and closed channels, and are calculated numerically using analogous means. By treating the open and closed channels equivalently in the calculation of the multi-channel wave functions, the generalized interaction matrix and generalized scattering matrix can be obtained for all the channels. With the obtained wave functions and generalized scattering matrix, the dielectronic recombination (DR) process can be calculated within the close-coupling framework by employing Bell and Seaton’s analytical deductions. In the method, high Rydberg states can easily be involved in numerical calculations. The method was applied to the calculations of DR of Mg+ and Si11+ ions along their high Rydberg states. The results are compared with those of the published experiments. Excellent agreements have been achieved, except at the extreme high Rydberg states for Si11+ ions, which is discussed in this paper.