Abstract
The ground-state electron energies, the mass correction and mass polarization of low and multiply charged helium-like ions are analytically and numerically calculated. Approximately 3500 different kinds of ions with charge Z = 2 ÷ 118 are considered. The two-electron Schrodinger equation was solved using a discrete variational-perturbation approach developed by the authors and based on explicitly correlated wave functions. This approach takes into account the motion of the nucleus and yields accurate values for the electron characteristics. The results are presented with and without the inclusion of the mass polarization in the minimization procedure. The relative importance of mass correlations and relativistic effects in the formation of the electron energy characteristics of the helium-like ions are studied for different values of Z. The role of the inclusion of the mass polarization in the minimization procedure as an instrument to present and take into account the effects induced by the nuclear properties, structure and characteristics has been shown.
Highlights
Low and multiply charged helium-like ions are responsible for the properties and characteristics of low and high density plasma and for the processes occurring in it [1]
Apart from including the mass polarization in the variational-perturbation procedure, we explored in Ref. [5] the role of the mass excess in both the mass correction and the mass polarization on the electron ground-state energies of helium-like ions with nuclear charge Z = 2 ÷ 118
The inclusion of the mass polarization in the minimization procedure: i) improves by one order of magnitude the values for the ground-state energy of the helium-like ions; ii) gives the possibility to account for the effects induced by the properties and characteristics of the nuclei on the electron energy characteristics; iii) gives the possibility for calculating relativistic corrections according to the variational-perturbation approach
Summary
Low and multiply charged helium-like ions are responsible for the properties and characteristics of low and high density plasma and for the processes occurring in it [1]. High-precision calculations of the electron ground-state energies of helium-like ions require to take into account the effects associated with nuclear characteristics and electron correlations.
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