Electron Self Energy for the K and L Shell at Low Nuclear Charge

Abstract

A nonperturbative numerical evaluation of the one-photon electron self energy for the K- and L-shell states of hydrogenlike ions with nuclear charge numbers Z=1 to 5 is described. Our calculation for the 1S state has a numerical uncertainty of 0.8 Hz in atomic hydrogen, and for the L-shell states (2S and 2P) the numerical uncertainty is 1.0 Hz. The method of evaluation for the ground state and for the excited states is described in detail. The numerical results are compared to results based on known terms in the expansion of the self energy in powers of (Z alpha).

21 pages, RevTeX, 5 Tables, 6 figures

References in corpus (5)

• Calculation of the Electron Self Energy for Low Nuclear Charge
• Higher-order binding corrections to the Lamb shift of 2P states
• Loop-after-loop contribution to the second-order Lamb shift in hydrogenlike low-Z atoms
• Logarithms of alpha in QED bound states from the renormalization group
• Lamb Shift of 3P and 4P states and the determination of $\alpha$

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