Calculation of the Electron Self Energy for Low Nuclear Charge

Details Calculation of the Electron Self Energy for Low Nuclear Charge Calculation of the Electron Self Energy for Low Nuclear Charge

2000-01-28

arxiv.org/abs/physics/0001068v1

Phys.Rev.Lett.82:53,1999

Physics

Atomic Physics

10 pages, RevTeX, 2 figures

Scientific paper

10.1103/PhysRevLett.82.53

We present a nonperturbative numerical evaluation of the one-photon electron self energy for hydrogenlike ions with low nuclear charge numbers Z=1 to 5. Our calculation for the 1S state has a numerical uncertainty of 0.8 Hz for hydrogen and 13 Hz for singly-ionized helium. Resummation and convergence acceleration techniques that reduce the computer time by about three orders of magnitude were employed in the calculation. The numerical results are compared to results based on known terms in the expansion of the self energy in powers of (Z alpha).

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