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Springer eBooks

Two Electron Rydberg States

William E. Cooke

Published Jan 1, 1981• 2 citations
Publisher
DOI
10.1007/978-1-4615-9206-8_7

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Theoretical approaches for doubly-excited Rydberg states in quasi-two-electron systems: two-electron dynamics far away from the nucleus

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We report on recent progress regarding the theoretical treatment of doubly-excited Rydberg states of atoms with two valence electrons. Building upon state-of-the-art techniques, we demonstrate that an approach based on configuration interaction with exterior complex scaling (CI-ECS) is capable of describing high Rydberg states (n∼100) and does not rely on the assumptions of R-matrix multichannel quantum-defect theory. We show that CI-ECS allows the simultaneous, accurate treatment of a range of doubly-excited Rydberg states broader than previously possible. The implementation of the method with numerical basis functions is explained in detail. As an example, CI-ECS calculations of the doubly-excited states of Mg and Sr are presented, and excellent agreement is found with available experimental data. The CI-ECS method opens new perspectives for studying collective two-electron dynamics in doubly-excited Rydberg states of alkaline-earth metal atoms, and is also of interest for the field of Rydberg-based quantum simulation.

Molecular Physics•Dec 18, 2020•8 citations
Double Rydberg states were populated by triple electron capture in collisions of highly charged ions with atoms. The highest stabilization of states produced by triple capture at $v\ensuremath{\cong}0.2\mathrm{a}.\mathrm{u}.$ was found for binding energies of the projectile electrons near the limits of the $({2,n,n}^{\ensuremath{'}})$ and $({3,n,n}^{\ensuremath{'}})$ series. Population of triply excited double Rydberg states was confirmed by the emission of Rydberg transitions. Results are interpreted by two successive autotransfer into Rydberg states for $({3,n,n}^{\ensuremath{'}})$ states and of one-step two-electron autotransfer for $({2,n,n}^{\ensuremath{'}})$ states.
We report the formation of $\mathrm{S}{\mathrm{F}}_{6}^{\ensuremath{-}}$ in a molecular beam containing coexpanded NO and SF6\mathrm{S}{\mathrm{F}}_{6}SF6​ by direct electron transfer from laser-excited Rydberg states of NO, and electron attachment from ultracold plasma induced by Penning ionization or photoionization of NO. At short times of up to 2 \textmu{}s after laser excitation, we find that the dominant pathway for near-zero-energy electron attachment to SF6\mathrm{S}{\mathrm{F}}_{6}SF6​ molecules forming $\mathrm{S}{\mathrm{F}}_{6}^{\ensuremath{-}}$ ions is from Rydberg electron transfer from excited Rydberg states, within a few $\mathrm{c}{\mathrm{m}}^{\ensuremath{-}1}$ of the Rydberg limit. $\mathrm{S}{\mathrm{F}}_{6}^{\ensuremath{-}}$ ion production occurs by electron transfer from NO Rydberg states with a principal quantum number $n\ensuremath{\ge}165$. At this principal quantum number threshold, the Rydberg reaction range is \ensuremath{\sim}15 \textmu{}m. For lower-lying Rydberg states of NO, no $\mathrm{S}{\mathrm{F}}_{6}^{\ensuremath{-}}$ ions are detected despite the efficiency of SF6\mathrm{S}{\mathrm{F}}_{6}SF6​ as an electron scavenger of weakly bound electrons. We hypothesize that $\mathrm{S}{\mathrm{F}}_{6}^{\ensuremath{-}}$ anions formed in closer proximity to a NO+\mathrm{N}{\mathrm{O}}^{+}NO+ cation core may undergo efficient back-electron transfer.
We report on recent progress regarding the theoretical treatment of doubly-excited Rydberg states of atoms with two valence electrons. Building upon state-of-the-art techniques, we demonstrate that an approach based on configuration interaction with exterior complex scaling (CI-ECS) is capable of describing high Rydberg states (n∼100) and does not rely on the assumptions of R-matrix multichannel quantum-defect theory. We show that CI-ECS allows the simultaneous, accurate treatment of a range of doubly-excited Rydberg states broader than previously possible. The implementation of the method with numerical basis functions is explained in detail. As an example, CI-ECS calculations of the doubly-excited states of Mg and Sr are presented, and excellent agreement is found with available experimental data. The CI-ECS method opens new perspectives for studying collective two-electron dynamics in doubly-excited Rydberg states of alkaline-earth metal atoms, and is also of interest for the field of Rydberg-based quantum simulation.