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

Rocco, H. O. Di; Lanzini, Fernando

doi:10.1007/s13538-015-0397-9

Cited by 2 publications

(1 citation statement)

References 28 publications

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“…The screening contribution to the self-energy (as plotted in Figs. 5, 6, 7 and 8) is defined as • The effective charge Z eff can be determined from screening constants [31,32]: the average charge of orbital i is given by…”

Section: Breit Interaction and Qed Correctionsmentioning

confidence: 99%

K-shell spectroscopy in hot plasmas: Stark effect, Breit interaction and QED corrections

Pain¹,

Gilleron²,

Comet³

et al. 2017

AIP Conference Proceedings

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The broadening of lines by Stark effect is widely used for inferring electron density and temperature in plasmas. Stark-effect calculations often rely on atomic data (transition rates, energy levels,...) not always exhaustive and/or valid only for isolated atoms. In this work, we first present a recent development in the detailed opacity code SCO-RCG for K-shell spectroscopy. The approach is adapted from the work of Gilles and Peyrusse. Neglecting non-diagonal terms in dipolar and collision operators, the line profile is expressed as a sum of Voigt functions associated to the Stark components. The formalism relies on the use of parabolic coordinates and the relativistic fine structure of Lyman lines is included by diagonalizing the hamiltonian matrix associated to quantum states having the same principal quantum number n. The SCO-RCG code enables one to investigate plasma environment effects, the impact of the microfield distribution, the decoupling between electron and ion temperatures and the role of satellite lines (such as Li-like 1snℓn ′ ℓ ′ −1s 2 nℓ, Be-like, etc.). Atomic structure calculations have reached levels of accuracy which require evaluation of Breit interaction and many-electron quantum electro-dynamics (QED) contributions. Although much work was done for QED effects (self-energy and vacuum polarization) in hydrogenic atoms, the case of an arbitrary number of electrons is more complicated. Since exact analytic solutions do not exist, a number of heuristic methods have been used to approximate the screening of additional electrons in the self-energy part. We compare different ways of including such effects in atomic-structure codes (Slater-Condon, Multi-Configuration Dirac-Fock, etc.).

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Section: Breit Interaction and Qed Correctionsmentioning

confidence: 99%

K-shell spectroscopy in hot plasmas: Stark effect, Breit interaction and QED corrections

Pain¹,

Gilleron²,

Comet³

et al. 2017

AIP Conference Proceedings

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show abstract

A Bi−directional method for evaluating integrals involving higher transcendental functions. HyperRAF: A Julia package for new hyper−radial functions

Bağcı,

Aucar

2024

Computer Physics Communications

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

Abstract: How to citeComplete issue More information about this article Journal's homepage in redalyc.org Scientific Information System Network of Scientific Journals from Latin America, the Caribbean, Spain and Portugal Non-profit academic project, developed under the open access initiative

Cited by 2 publications

References 28 publications

K-shell spectroscopy in hot plasmas: Stark effect, Breit interaction and QED corrections

K-shell spectroscopy in hot plasmas: Stark effect, Breit interaction and QED corrections

A Bi−directional method for evaluating integrals involving higher transcendental functions. HyperRAF: A Julia package for new hyper−radial functions

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