Relativistic screened hydrogenic radial integrals

Abstract

The computation of dipole matrix elements plays an important role in the study of absorption or emission of radiation by atoms in several fields such as astrophysics or inertial confinement fusion. In this work we obtain closed formulas for the dipole matrix elements of multielectron ions suitable for using in the framework of a Relativistic Screened Hydrogenic Model.

Comparison of Iron Plasma Atomic and Radiative Properties Computed with a Relativistic Collisional Radiative Average Atom Code versus Other Models

“…Inside the thesis book [2,42] more data of iron plasmas can be found illustrating the extension of computation capability with cases also contained inside other References [10,17,30,43]. There is a good agreement of atomic and radiative properties with respect to very recent experimental measurements of laboratories simulated by other codes [44] and to the last theoretical developments in quantum mechanics of statistical methods and state of the art models, The present work contains a representative sample of steady state iron plasmas, highlighting the huge computation capability extension up to implementation of a collisional radiative balance in the relativistic average atom model ATMED [4][5][6][7]. The departures from LTE regime are clearly observed when plasma properties are computed with = 0 eV or T R ≠ T e eV) in lating with ATMED CR (T e = T R ).…”

“…The collisional radiative model ATMED CR [1,2] constructed in the Average Atom formalism has been developed to calculate plasma population kinetics under coronal, local or non-local thermodynamic equilibrium regimes as an extension of the module named ATMED LTE [3][4][5] designed previously for local thermodynamic conditions. The atomic model is based on a New Relativistic Screened Hydrogenic Model (NRSHM) with a set of universal screening constants including nljsplitting that has been obtained by fitting to a large database of 61,350 atomic high quality data entries, compiled from the National Institute of Standards and Technology (NIST) database of U.S. Department of Commerce and from the Flexible Atomic Code (FAC) [6,7].…”

Transition probabilities of neutral scandium

“…In this method, the calculations are carried out easily for transitions belonging to low lying and highly excited levels. The quantum defect theory has been very successfully applied earlier in the computation of atomic transition probabilities, oscillator strengths and lifetimes for single valence electron atoms and other many electron systems [18,[23][24][25][26]. The QDO theory can be used to calculate the oscillator strengths for both highly excited states and low lying states without any increase of complexity in calculation process.…”

Plasmas Computed with ATMED CR of the 4th Non Local Thermodynamic Equilibrium Code Comparison Workshop Database

“…The number of 26, 2018; Article no.PSIJ.44683 4 Workshop in state cases of gold atoms on a grid of detailed models considering a very complete selection of configurations with respect to other selections with a more reduced number of configurations [21]. For these atomic processes ED CR considers all possible combinations between three energy orbitals which comply with the aforementioned restrictions on their binding energies through the formula (7). The detailed model of reference [21] has considered different ed states, also called autoionising states which can decay through the autoionisation channel, obtaining several models denominated A, B, C and D. This way model A has the greatest number of configurations, typically, some thousands.…”

“…The collisional radiative model ATMED CR [1,2] constructed in the Average Atom formalism has been developed to calculate plasma population kinetics under coronal, local or non-local thermodynamic equilibrium regions as an extension of the module named ATMED LTE [3][4][5] designed previously for local thermodynamic conditions. The atomic model is based on a New Relativistic Screened Hydrogenic Model (NRSHM) with a set of universal screening constants including nlj-splitting that has been obtained by fitting to a large database of 61,350 atomic high quality data entries, compiled from the National Institute of Standards and Technology (NIST) database of U.S. Department of Commerce and from the Flexible Atomic Code (FAC) [6,7].…”