On the $Q$-dependence of the lowest-order QED corrections and other properties of the ground $1^{1}S-$states in the two-electron ions

Abstract

Formulas and expectation values which are need to determine the lowest-order QED corrections ($\sim {\alpha }^3$) and corresponding recoil (or finite mass) corrections in the two-electron helium-like ions are presented. Other important properties of the two-electron ions are also determined to high accuracy, including the expectation values of the qausi-singular Vinti operator and $⟨r_{eN}^{-2}⟩$ and $⟨r_{ee}^{-2}⟩$ expectation values. Elastic scattering of fast electrons by the two-electron ions in the Born approximation is considered. Interpolation formulas are derived for the bound state properties of the two-electron ions as the function of the nuclear electric charge $Q$.

References in corpus (1)

• Accurate evaluations of the field shift and lowest-order QED correction for the ground $1^{1}S-$states of some light two-electron ions

Cited by in corpus (7)

• On the general theory of bound state spectra in the Coulomb few- and many-body systems
• On accurate computations of slowly convergent atomic properties in few-electron ions and electron-electron correlations
• Matrix mechanics for actual atoms and molecules
• On the emission of the fast $\delta -$electrons during nuclear ${\beta }^{-}$-decay in few-electron atoms
• Accurate exponential representations for the ground states of the collinear two-electron atomic systems
• The collinear helium atom and two-electron ions
• Electrons on sphere in the helium-like atomic systems