Toward high-precision values of the self energy of non-S states in hydrogen and hydrogen-like ions

Abstract

The method and status of a study to provide numerical, high-precision values of the self-energy level shift in hydrogen and hydrogen-like ions is described. Graphs of the self energy in hydrogen-like ions with nuclear charge number between 20 and 110 are given for a large number of states. The self-energy is the largest contribution of Quantum Electrodynamics (QED) to the energy levels of these atomic systems. These results greatly expand the number of levels for which the self energy is known with a controlled and high precision. Applications include the adjustment of the Rydberg constant and atomic calculations that take into account QED effects.

Minor changes since previous version

References in corpus (11)

• Theory of Light Hydrogenlike Atoms
• Two-time Green function method in quantum electrodynamics of high-Z few-electron atoms
• 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
• Lamb Shift of 3P and 4P states and the determination of $\alpha$
• QED self-energy contribution to highly-excited atomic states
• Electron Self Energy for Higher Excited S Levels
• Asymptotic properties of self-energy coefficients
• Perturbation Approach to the Self Energy of non-S Hydrogenic States
• Self-energy values for P states in hydrogen and low-Z hydrogenlike ions

Cited by in corpus (1)

• Self-energy values for P states in hydrogen and low-Z hydrogenlike ions