Impact Collision Operator for Unbounded Electrons in a Magnetized Plasma Model

Abstract

The shapes of spectral lines in plasmas contain information about plasma parameters and can be used as a diagnostic tool. We have obtained a theoretical expression involving a Meijer function for the plasma collision operator for electrons in the presence of an external magnetic field. We have used the semiclassical theory and the impact approximation which concern the interaction between the emitting systems (hydrogen-like ions in this study) and the plasma electrons. We have calculated the collision operator amplitude for some hydrogen-like ions such as Ar+17, V+22, Cr+23, Fe+25, and Ag+46 for high density intervals between 1018 cm−3 to 1026 cm−3 and at high temperatures between 106 K to 1010 K in a very strong magnetic field between 100 T to 10,000 T. We have applied our results to the Lyman-alpha line, and the comparison with experimental data and some theoretical results gives a good agreement.