Theoretical energies of low-lying states of light helium-like ions

2010/01/31 by V. A. Yerokhin, Vladimir A. Yerokhin, Krzysztof Pachucki
Decision Sciences · Physics and Astronomy · #Advanced Frequency and Time Standards #Alpha particle #Atomic and Molecular Physics #Atomic physics #Charge (physics) #Effective nuclear charge #Energy (signal processing) #Helium #Ion #Nuclear physics #Order (exchange) #Physics #Quantum #Quantum mechanics #Recoil #Scientific Measurement and Uncertainty Evaluation #physics.atom-ph

paper · pdf · doi:10.1103/physreva.81.022507

published as Phys. Rev. A 81, 022507 (2010) · 18 pages, 9 tables, 1 figure, with several misprints corrected

arxiv created 2010/01/31 · openalex publication_date 2010/02/18 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A rigorous quantum electrodynamical calculation is presented for energy levels of the 1 ¹S, 2 ¹S, 2 ³S, 2 ¹P₁, and 2 ³P_0,1,2 states of helium-like ions with the nuclear charge Z=3,…,12. The calculational approach accounts for all relativistic, quantum electrodynamical, and recoil effects up to orders m\ensuremathα⁶ and m²/M\ensuremathα⁵, thus advancing the previously reported theory of light helium-like ions by one order in \ensuremathα.

Citations

• Reexamination of the helium fine structure
• Two-time Green's function method in quantum electrodynamics of high-Z few-electron atoms
• Helium energy levels includingmα6corrections
• EXPERIMENT AND THEORY IN COMPUTATIONS OF THE He ATOM GROUND STATE
• CODATA recommended values of the fundamental physical constants: 2006
• CODATA recommended values of the fundamental physical constants: 2002