On accurate computations of slowly convergent atomic properties in few-electron ions and electron-electron correlations

Abstract

We discuss an approach to accurate numerical computations of slowly convergent properties in two-electron atoms/ions which include the negatively charged Ps${}^{-}$ ($e^{-}{e}^{+}{e}^{-}$) and H${}^{-}$ ions, He atom and positively charged, helium-like ions from Li${}^{+}$ to Ni${}^{26+}$. All these ions are considered in their ground $1^{1}S-$state(s). The slowly convergent properties selected in this study include the electron-nulceus $⟨r_{eN}^{2k}⟩$ and electron-electron $⟨r_{ee}^{2k}⟩$ expectation values for $k$ = 2, 3, 4 and 5.

References in corpus (3)

• Bound state properties and photodetachment of the negatively charged hydrogen ions
• 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
• New method for highly accurate calculations of the photodetachment cross-sections of the negatively charged hydrogen ions