Abstract
We present a numerical evaluation of the loop-after-loop contribution to the second-order self-energy for the ground state of hydrogenlike atoms with low nuclear charge numbers Z. The calculation is carried out in the Fried-Yennie gauge and without an expansion in $Z\ensuremath{\alpha}.$ Our calculation confirms the results of Mallampalli and Sapirstein and disagrees with the calculation by Goidenko and co-workers. A discrepancy between different calculations is investigated. An accurate fitting of the numerical results provides a detailed comparison with analytic calculations based on an expansion in the parameter $Z\ensuremath{\alpha}.$ We confirm the analytic results of order ${\ensuremath{\alpha}}^{2}(Z\ensuremath{\alpha}{)}^{5}$ but disagree with Karshenboim's calculation of the ${\ensuremath{\alpha}}^{2}(Z\ensuremath{\alpha}{)}^{6}{\mathrm{ln}}^{3}(Z\ensuremath{\alpha}{)}^{\ensuremath{-}2}$ contribution.
Submitted Version (
Free)
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
