2008/04/22 by V. A. Yerokhin, U. D. Jentschura, Ulrich D. Jentschura · 1 citation
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Atomic physics #Bound state #Charge (physics) #Effective nuclear charge #Electron #Energy (signal processing) #Hyperfine structure #Ion #Mathematics #Nuclear physics research studies #Physics #Quantum mechanics #Remainder #physics.atom-ph
paper · pdf · doi:10.1103/physrevlett.100.163001
published as Phys. Rev. Lett. 100 (2008) 163001 · 4 pages, 1 figure
openalex publication_date 2008/04/22 · arxiv created 2008/04/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A high-precision numerical calculation is reported for the self-energy correction to the hyperfine splitting and to the bound-electron g factor in hydrogenlike ions with low nuclear charge numbers. The binding nuclear Coulomb field is treated to all orders, and the nonperturbative remainder beyond the known Zalpha-expansion coefficients is determined. For the 3He+ ion, the nonperturbative remainder yields a contribution of -450 Hz to the normalized difference of the 1S and 2S hyperfine-structure intervals, to be compared with the experimental uncertainty of 71 Hz and with the theoretical error of 50 Hz due to other contributions. In the case of the g factor, the calculation provides the most stringent test of equivalence of the perturbative and nonperturbative approaches reported so far in the bound-state QED calculations.