Universal Representation of the H-like Spectral Line Shapes

Abstract

A universal approach for the calculation of Rydberg atom line shapes in plasmas is developed. It is based on analytical formulas for the intensity distribution in radiation transitions n→n’ between highly excited atomic states with large values of principal quantum numbers n, n’≫1, with Δ n = n−n’≪n, and on the Frequency Fluctuation Model (FFM) to account of electron and ion thermal motion effects. The theory allows to describe a transition from the static to the impact broadening domains for every hydrogen spectral line. A new approach to extremely fast line shape calculations with account of charged particle dynamic effect was proposed. The approach is based on the close analogy between the static‐impact broadening transition in the spectral line shape theory and the Doppler‐Lorentz broadening in the Dicke narrowing effect theory. The precision of the new approach was tested by the comparison of hydrogen‐alpha and beta line shapes calculations with the FFM results. The excellent agreement was discovered...