Self-Energy Correction to the Hyperfine Splitting for Excited States

Abstract

The self-energy corrections to the hyperfine splitting is evaluated for higher excited states in hydrogenlike ions, using an expansion in the binding parameter Zalpha, where Z is the nuclear charge number, and alpha is the fine-structure constant. We present analytic results for D, F and G states, and for a number of highly excited Rydberg states with principal quantum numbers in the range 13 <= n <= 16, and orbital angular momenta l = n-2 and l = n-1. A closed-form, analytic expression is derived for the contribution of high-energy photons, valid for any state with l <= 2$ and arbitrary n, l and total angular momentum j. The low-energy contributions are written in the form of generalized Bethe logarithms and evaluated for selected states.

7 pages; RevTeX

References in corpus (6)

• Fundamental constants and tests of theory in Rydberg states of hydrogen-like ions
• Self-energy correction to the hyperfine splitting and the electron g factor in hydrogen-like ions
• Electron self-energy in the presence of magnetic field: hyperfine splitting and g factor
• Quantum electrodynamic corrections to the hyperfine structure of excited S states
• 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
• Proposal for the determination of nuclear masses by high-precision spectroscopy of Rydberg states

Cited by in corpus (4)

• A tabulation of the bound-state energies of atomic hydrogen
• Ground state hyperfine splitting in ^6,7Li atoms and the nuclear structure
• NRQED approach to the fine and hyperfine structure corrections of order $m{\alpha }^6$ and $m{\alpha }^6(m/M)$ -- Application to the hydrogen atom
• Ground state hyperfine splitting in the Be${}^{+}$ ion