One-loop self-energy correction to the 1s and 2s hyperfine splitting in H-like systems

Abstract

The one-loop self-energy correction to the hyperfine splitting of the 1s and 2s levels in H-like low-Z atoms is evaluated to all orders in Zα. The results are compared to perturbative calculations. The residual higher-order contribution is evaluated. Implications to the specific difference of the hyperfine structure intervals 8Δν_2 - Δν_1 in He^+ are investigated.

17 pages, RevTeX, 3 figures

Cited by in corpus (27)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Precision physics of simple atoms: QED tests, nuclear structure and fundamental constants
• Phenomenology of the normal state in-plane transport properties of high-$T_c$ cuprates
• Self-energy correction to the bound-electron g factor in H-like ions
• QED tests with highly-charged ions
• Evaluation of the self-energy correction to the g-factor of S states in H-like ions
• Ground-state hyperfine structure of H-, Li-, and B-like ions in middle-Z region
• Progress in quantum electrodynamics theory of highly charged ions
• Zemach and magnetic radius of the proton from the hyperfine splitting in hydrogen
• Hyperfine structure in hydrogen and helium ion
• Self-energy correction to the hyperfine splitting and the electron g factor in hydrogen-like ions
• Two-loop QED corrections with closed fermion loops for the bound-electron g factor
• Electron self-energy in the presence of magnetic field: hyperfine splitting and g factor
• Muonium hyperfine structure and hadronic effects
• High-precision measurements of $n=2\to n=1$ transition energies and level widths in He- and Be-like Argon Ions
• Hyperfine Structure of the Ground and First Excited States in Light Hydrogen-Like Atoms and High-Precision Tests of QED
• One-loop self-energy correction in a strong binding field
• Quantum electrodynamic corrections to the hyperfine structure of excited S states
• Improved all-order results for the one-loop QED correction to the hyperfine structure in light H-like atoms
• Evaluation of the screened vacuum-polarization corrections to the hyperfine splitting of Li-like bismuth
• Calculations of QED effects with the Dirac Green function
• HFS interval of the $2s$ state of hydrogen-like atoms and a constraint on a pseudovector boson with mass below $1$keV$/c^2$
• Improved theoretical prediction for the 2s hyperfine interval in helium ion
• QED corrections of order alpha (Zalpha)^2 E_F to the hyperfine splitting of P_1/2 and P_3/2 states in hydrogenlike ions
• Ground-state hyperfine splitting of B-like ions in high-Z region
• Many-electron effects in the hyperfine splitting of lithiumlike ions
• A concept for the experimental determination of the nucleon electric to magnetic form factor ratio at very low $Q^2$