An efficient screening approach to be used in plasma modeling and ion-surface collision experiments

Abstract

In this work we show that the Layzer theory for atomic calculations, not only provides a theoretical framework but also a powerful computational approach if correct rules for the calculation of the screening parameters are given. Using the virial as a model for potential energy and splitting of two-body operators as sum of onebody operators, a neat definition of screening is given, satisfying diverse physically indispensable properties. Many different experimental and theoretical results are reproduced with high accuracy, with no fitting procedure involving energy levels or numerical potentials. A C + + code and an executable file are available upon request.

A new set of relativistic screening constants for the screened hydrogenic model

“…In fact, Perrot when reviewing the theoretical basis of the SHM [17], concludes that an empirical adjustment of the screening constants is always necessary to obtain good results, because of the crude approximation of using universal screening constants underlying the SHM model basis in which screening parameters do not depend on each atomic configuration. In spite of this, some authors have developed algorithms for ab initio determination of the screening constants, in both a non-relativistic [21] and in a relativistic framework [22].…”

Breit and Quantum Electrodynamics Energy Contributions in Multielectron Atoms from the Relativistic Screened Hydrogenic Model

“…In Eqs. (18)(19)(20)(21), r < (r > ) is the smaller (larger) of the two radial variables r 1 and r 2 , whereas the following combinations of radial hydrogenic wavefunctions were introduced The energies are measured in Ry and…”

“…In a recent article by the present authors [17], a relativistic screened hydrogenic model with relativistic hydrogenic wavefunctions (RSHM) was developed. This method was lightly modified in order to be applied to relativistic case [18][19][20]. The main focus of this paper was on the fundamentals of the method, and an iterative cycle for the calculation of the screening parameters was necessary.…”