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- W2940960295 abstract "The $1/Z$-expansion for the ground state energy of the Coulomb system of an infinitely massive center of charge Z and two electrons (two electron ionic sequence) is studied. A critical analysis of the $1/Z$ coefficients presented in Baker et al, {em Phys. Rev. bf A41}, 1247 (1990) is performed and its numerical deficiency is indicated, leading, in particular, to unreliable decimal digits beyond digits 11-12 of the first coefficients. We made a consistency check of the $1/Z$-expansion with accurate energies for $Z = 1 - 10$: the weighted partial sums of the $1/Z$-expansion with Baker et al. coefficients, reproduce systematically the ground state energies of two-electron ions with $Z geq 2$ up to 12 decimal digits and for $Z=1$ up to 10 decimal digits. This rules out the presence of non-analytic terms at $Z=infty$ contributing into the first 10-12 decimal digits in the ground state energy; it agrees with the Kato theorem about convergence of the $1/Z$-expansion within that accuracy. The ground state energy of two-electron ions $Z=11 (Na^{9+})$ and $Z=12 (Mg^{10+})$ is calculated with 12 decimal digits." @default.
- W2940960295 created "2019-05-03" @default.
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- W2940960295 date "2014-05-20" @default.
- W2940960295 modified "2023-09-27" @default.
- W2940960295 title "On $1/Z$ expansion, critical charge for two-electron system and Reinhardt conjecture" @default.
- W2940960295 hasPublicationYear "2014" @default.
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