Electron self-energy for theKandLshells at low nuclear charge
- 21 March 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 63 (4), 042512
- https://doi.org/10.1103/physreva.63.042512
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 to 5 is described. Our calculation for the state has a numerical uncertainty of 0.8 Hz in atomic hydrogen, and for the L-shell states and 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
Keywords
This publication has 60 references indexed in Scilit:
- Logarithms ofin QED Bound States from the Renormalization GroupPhysical Review Letters, 2000
- Second-Order Electron Self-Energy in Hydrogenlike IonsPhysical Review Letters, 1999
- Convergence acceleration via combined nonlinear-condensation transformationsComputer Physics Communications, 1999
- Relativistic recoil correction to hydrogen energy levelsJournal of Physics B: Atomic, Molecular and Optical Physics, 1998
- Recoil correction to hydrogen energy levels: A revisionJournal of Experimental and Theoretical Physics, 1998
- Lamb shift of 3and 4states and the determination ofPhysical Review A, 1997
- Higher-order binding corrections to the Lamb shift of 2PstatesPhysical Review A, 1996
- Bethe logarithms for hydrogen up ton=20, and approximations for two-electron atomsPhysical Review A, 1990
- Källén-Sabry contribution to the lamb-shift in hydrogen-like atomsThe European Physical Journal D, 1988
- Simplified Calculation of Lamb Shift Using Algebraic TechniquesPhysical Review B, 1969