1. Electron broadening operator including penetrating collisions for hydrogen
- Author
-
Franck Gilleron and Jean-Christophe Pain
- Subjects
Nuclear and High Energy Physics ,Hydrogen ,Atomic Physics (physics.atom-ph) ,chemistry.chemical_element ,FOS: Physical sciences ,standard theory ,Electron ,penetration standard theory ,01 natural sciences ,010305 fluids & plasmas ,Collision operator ,Physics - Atomic Physics ,symbols.namesake ,0103 physical sciences ,lcsh:Nuclear and particle physics. Atomic energy. Radioactivity ,stark broadening ,010306 general physics ,collision operator ,Physics ,Penetration (firestop) ,line-shape profile ,Condensed Matter Physics ,Atomic and Molecular Physics, and Optics ,chemistry ,Stark effect ,Special functions ,Quantum electrodynamics ,electron broadening ,symbols ,lcsh:QC770-798 ,strong collisions ,Standard theory ,Impact parameter - Abstract
The expression of the electron broadening operator including the effect of penetrating collisions, i.e. for which the incoming electron enters the extent of bound-electron wavefunctions, is rather complicated, even for hydrogen. It involves integrals of special functions, which evaluation deserves scrutiny. We present a simple approximate form of the electron collision operator for hydrogen including penetration effects, both in direct and interference terms. The new expression is accurate and easy to compute. In the Penetration Standard Theory, the collision operator is convergent whatever the value of the maximum impact parameter. However, when penetration theory is not valid anymore, it should be questioned. We discuss the problem of strong collisions when penetration effects are taken into account., submitted to "Atoms"
- Published
- 2020