On the use of the $V^{N-M}$ approximation in atomic calculations

Details On the use of the $V^{N-M}$ approximation in atomic calculations On the use of the $V^{N-M}$ approximation in atomic calculations

2005-01-07

arxiv.org/abs/physics/0501032v1

Phys. Rev. A 71, 032512 (2005)

Physics

Atomic Physics

5 pages,1 figure, submitted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.71.032512

We demonstrate that $V^{N-M}$ approximation is a good starting point for the configuration interaction calculations for many-electron atoms and ions. $N$ is the total number of electrons in the neutral atom, $M$ is the number of valence electrons. $V^{N-M}$ is the self-consistent Hartree Fock potential for a closed-shell ion with all valence electrons removed. Using of the $V^{N-M}$ approximation considerably simplifies the many-body perturbation theory for the core-valence correlations. It makes it easier to include higher-order correlations which often significantly improves the accuracy of the calculations. Calculations for krypton and barium and their positive ions are presented for illustration.

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