Effect of Deutsch interaction on the spectral line broadening in plasmas: Ly-α case for hydrogenic ions

The aim of this work is to calculate the broadening of the spectral lines in a plasma constituted of electrons and V-n(+22) ions (hydrogen-like Vanadium). In particular, we are interested in the contribution of weak collisions (free electrons-ions V-n(+22)) to this broadening. To this end, we place ourselves within the framework of the semi-classical theory using the electric dipole interaction. We also use the impact theory which is often adapted when dealing with the broadening of spectral lines by collisions of ions with electrons. The novelty in this work is based on the fact that the interaction (free electron-V-n(+22)) is of the Deutsch type which takes into account the quantum effects at short distance. We therefore used this interaction to calculate the collision cross section (free electron-V-n(+22)) in quantum mechanics on the one hand and in relativistic quantum mechanics on the other hand. We used the two cross-section expressions that we calculated to extract the amplitude of the collision operator. In using the first expression, we worked with the Maxwell distribution of velocities, while with the second expression of the cross section, we worked with the Juttner-Maxwell distribution of velocities. We also added to this work the effect of particles identity to calculate the amplitude of the collision operator, using the appropriate cross section. Comparisons with the results from Coulomb's interaction have been made.

Automated summary

The aim of this study is to calculate the broadening of spectral lines in a plasma made up of electrons and hydrogen-like Vanadium ions. The focus is on the contribution of weak collisions, utilizing semi-classical theory and electric dipole interaction. The study introduces the Deutsch type interaction to account for quantum effects at short distances and compares results with Coulomb's interaction.