Calculation of the electron self-energy for low nuclear charge

Ulrich D. Jentschura, Peter J. Mohr, Soff Gerhard

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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 3 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 Zα.

Original languageEnglish
Pages (from-to)53-56
Number of pages4
JournalPhysical review letters
Issue number1
Publication statusPublished - Jan 1 1999


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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