QED correction ofO( $α^{6}$ ${mc}^{2}$ ) to the fine structure splittings of helium and positronium

27 June 1994

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 72 (26), 4078-4081
https://doi.org/10.1103/physrevlett.72.4078

Abstract

A relativistic formula for the energy level shift due to vertex modifications to the electron-electron interactions in helium is derived within the external potential Bethe-Salpeter formalism. A rigorous treatment of QED corrections to the fine splittings of helium is carried out. A previously unsuspected QED correction of order

α^{6}

{mc}^{2}

is found, which contributes 32.664 kHz to the J=0→2 fine structure interval of the 1s2p

{}^{3}

P state of helium. For positronium, the additional contribution is 2.462 kHz.

Keywords

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Cited by 8 articles

QED correction ofO(α6mc2) to the fine structure splittings of helium and positronium

Abstract

Keywords

QED correction ofO( $α^{6}$ ${mc}^{2}$ ) to the fine structure splittings of helium and positronium