Hard three-loop corrections to hyperfine splitting

2016 ◽  
Vol 31 (02n03) ◽  
pp. 1641030
Author(s):  
Michael I. Eides ◽  
Valery A. Shelyuto
Keyword(s):  
Hyperfine Splitting ◽  
Invariant Sets ◽  
Gauge Invariant ◽  
Photon Exchange ◽  
Two Photon

We consider hard three-loop nonlogarithmic corrections of order [Formula: see text] to hyperfine splitting in muonium and positronium. All these contributions are generated by the graphs with photon, electron and/or muon loop radiative insertions in the two-photon exchange diagrams. We calculate contributions of six gauge invariant sets of diagrams.

Hyperfine splitting in muonium and positronium

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645034 ◽  
Author(s):  
Michael I. Eides ◽  
Valery A. Shelyuto
Keyword(s):  
Hyperfine Splitting ◽  
Invariant Sets ◽  
Gauge Invariant ◽  
Photon Exchange ◽  
Two Photon

Calculation of hard three-loop corrections of order [Formula: see text] to hyperfine splitting in muonium and positronium is reviewed. All these contributions are generated by the graphs with photon, electron and/or muon loop radiative insertions in the two-photon exchange diagrams. We calculate contributions of six gauge invariant sets of diagrams.

scholarly journals Three-loop radiative corrections to Lamb shift and hyperfine splitting

2007 ◽  
Vol 85 (5) ◽  
pp. 509-519 ◽  
Author(s):  
Michael I Eides ◽  
Valery A Shelyuto
Keyword(s):  
Hyperfine Splitting ◽  
Lamb Shift ◽  
Polarization Operator ◽  
Invariant Sets ◽  
Radiative Corrections ◽  
Gauge Invariant ◽  
Electron Polarization ◽  
Electron Line

We consider three-loop radiative corrections to the Lamb shift and hyperfine splitting. Corrections of order α3(Zα)5m are the largest still unknown contributions to the Lamb shift in hydrogen. We calculate radiative corrections to the Lamb shift and hyperfine splitting generated by the diagrams with insertions of one radiative photon and electron polarization loops in the graphs with two external photons. We also obtain corrections generated by the gauge-invariant sets of diagrams with two reducible radiative photon insertions in the electron line and a polarization operator insertion in one of the radiative photons, and diagrams with two reducible radiative photon insertions in the electron line and a polarization operator insertion in one of the external photons. Corrections to the Lamb shift and hyperfine splitting generated by the diagrams with insertions of the three-loop one-particle reducible diagrams with radiative photons in the electron line are calculated in the Yennie gauge.PACS Nos.: 12.20.Ds, 31.30.Jv, 32.10.Fn, 36.10.Dr

Redefined vacuum approach and gauge-invariant subsets in two-photon-exchange diagrams for a closed-shell system with a valence electron

2021 ◽  
Vol 103 (4) ◽  
Author(s):  
R. N. Soguel ◽  
A. V. Volotka ◽  
E. V. Tryapitsyna ◽  
D. A. Glazov ◽  
V. P. Kosheleva ◽  
...  
Keyword(s):  
Valence Electron ◽  
Closed Shell ◽  
Gauge Invariant ◽  
Photon Exchange ◽  
Shell System ◽  
Two Photon
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