High-order moments of spin-orbit energy in a multielectron configuration

X. Na 1, 2 M. Poirier 2, 1
2 MHDE - Matière à Haute Densité d'Energie
IRAMIS - Institut Rayonnement Matière de Saclay, LIDyl - Laboratoire Interactions, Dynamique et Lasers (ex SPAM)
Abstract : In order to analyze the energy-level distribution in complex ions such as those found in warm dense plasmas, this paper provides values for high-order moments of the spin-orbit energy in a multielectron configuration. Using second-quantization results and standard angular algebra or fully analytical expressions, explicit values are given for moments up to 10th order for the spin-orbit energy. Two analytical methods are proposed, using the uncoupled or coupled orbital and spin angular momenta. The case of multiple open subshells is considered with the help of cumulants. The proposed expressions for spin-orbit energy moments are compared to numerical computations from Cowan's code and agree with them. The convergence of the Gram-Charlier expansion involving these spin-orbit moments is analyzed. While a spectrum with infinitely thin components cannot be adequately represented by such an expansion, a suitable convolution procedure ensures the convergence of the Gram-Charlier series provided high-order terms are accounted for. A corrected analytical formula for the third-order moment involving both spin-orbit and electron-electron interactions turns out to be in fair agreement with Cowan's numerical computations.
Type de document :
Article dans une revue
Physical Review E , American Physical Society (APS), 2016, 94, pp.013206. 〈10.1103/PhysRevE.94.013206〉
Liste complète des métadonnées

https://hal-cea.archives-ouvertes.fr/cea-01426514
Contributeur : Caroline Lebe <>
Soumis le : mercredi 4 janvier 2017 - 15:55:35
Dernière modification le : jeudi 11 janvier 2018 - 06:27:30

Identifiants

Citation

X. Na, M. Poirier. High-order moments of spin-orbit energy in a multielectron configuration. Physical Review E , American Physical Society (APS), 2016, 94, pp.013206. 〈10.1103/PhysRevE.94.013206〉. 〈cea-01426514〉

Partager

Métriques

Consultations de la notice

35