Perturbation Approach to the Self Energy of non-S Hydrogenic States

Abstract

We present results on the self-energy correction to the energy levels of hydrogen and hydrogenlike ions. The self energy represents the largest QED correction to the relativistic (Dirac-Coulomb) energy of a bound electron. We focus on the perturbation expansion of the self energy of non-S states, and provide estimates of the so-called A60 perturbative coefficient, which can be considered as a relativistic Bethe logarithm. Precise values of A60 are given for many P, D, F and G states, while estimates are given for other electronic states. These results can be used in high-precision spectroscopy experiments in hydrogen and hydrogenlike ions. They yield the best available estimate of the self-energy correction of many atomic states.

18 pages (in 2-column format), 21 figures. Version 2 (June 20, 2003) includes minor modifications

References in corpus (10)

• Calculation of the Electron Self Energy for Low Nuclear Charge
• Higher-order binding corrections to the Lamb shift of 2P states
• Electron Self Energy for the K and L Shell at Low Nuclear Charge
• The Lamb Shift of Excited S-Levels in Hydrogen and Deuterium Atoms
• Convergence Acceleration via Combined Nonlinear-Condensation Transformations
• Lamb Shift of 3P and 4P states and the determination of $\alpha$
• QED self-energy contribution to highly-excited atomic states
• Two-Loop Self-Energy Corrections to the Fine-Structure
• Implementation of the Combined--Nonlinear Condensation Transformation
• Asymptotic properties of self-energy coefficients

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• Mathematical Properties of a New Levin-Type Sequence Transformation Introduced by Č\'ıžek, Zamastil, and Skála. I. Algebraic Theory
• Mass Measurements and the Bound--Electron g Factor
• Improved all-order results for the one-loop QED correction to the hyperfine structure in light H-like atoms
• Three-Loop Reducible Radiative Photon Contributions to Lamb Shift and Hyperfine Splitting
• Relativistic and Radiative Energy Shifts for Rydberg States
• One-loop electron self-energy with accelerated partial-wave expansion in Coulomb gauge
• Quantum Electrodynamic Corrections to Cyclotron States in a Penning Trap
• Relativistic Ritz approach to hydrogen-like atoms I: theoretical considerations
• Techniques in Analytic Lamb Shift Calculations
• Precision Rydberg State Spectroscopy with Slow Electrons and Proton Radius Puzzle
• Toward high-precision values of the self energy of non-S states in hydrogen and hydrogen-like ions