The g-factor of the bound electron as a test of quantum electrodynamics

2014 ◽  
Vol 89 (9) ◽  
pp. 098004
Author(s):  
Günter Werth
Keyword(s):  
Quantum Electrodynamics ◽  
G Factor ◽  
Bound Electron

g factor of the bound electron and muon

2007 ◽  
Vol 85 (5) ◽  
pp. 541-549 ◽  
Author(s):  
R N Lee ◽  
A I Milstein ◽  
I S Terekhov ◽  
S G Karshenboim
Keyword(s):  
Binding Energy ◽  
Radiative Correction ◽  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
Nuclear Size ◽  
G Factor ◽  
Hydrogenlike Atom ◽  
Bound Electron

Quantum electrodynamics (QED) corrections to the g factor of the bound electron and muon in the hydrogenlike atom are discussed. An approach that allows one to express the relativistic g factor of spin-1/2 particle in terms of the binding energy is applied to the calculation of the corrections to the g factor due to the finite nuclear size, including the vacuum polarization radiative correction. The contribution of the light-by-light diagram to the g factor of the bound electron and muon is calculated. For light one-electron ions, which are important for the experiment, this contribution has, so far, not been known.PACS Nos.: 31.15.Pf, 31.30.Jv, 32.10.Hq

scholarly journals Nuclear Recoil Effect on the g-Factor of Heavy Ions: Prospects for Tests of Quantum Electrodynamics in a New Region

JETP Letters ◽  
2017 ◽  
Vol 106 (12) ◽  
pp. 765-770 ◽  
Author(s):  
A. V. Malyshev ◽  
V. M. Shabaev ◽  
D. A. Glazov ◽  
I. I. Tupitsyn
Keyword(s):  
Quantum Electrodynamics ◽  
Heavy Ions ◽  
Nuclear Recoil ◽  
Recoil Effect ◽  
G Factor

scholarly journals Thermal corrections to the bound-electron g factor

2022 ◽  
Vol 105 (1) ◽  
Author(s):  
T. Zalialiutdinov ◽  
D. Glazov ◽  
D. Solovyev
Keyword(s):  
G Factor ◽  
Bound Electron

One-loop self-energy correction to the bound-electron g factor

2002 ◽  
Vol 80 (11) ◽  
pp. 1249-1254 ◽  
Author(s):  
V A Yerokhin ◽  
P Indelicato ◽  
V M Shabaev
Keyword(s):  
Numerical Evaluation ◽  
G Factor ◽  
Energy Correction ◽  
Self Energy ◽  
The One ◽  
Bound Electron

Accurate numerical evaluation of the one-loop self-energy correction to the 1s-electron g factor in H-like ions is presented to all orders in the parameter Zα. This calculation significantly improves the accuracy of theoretical values of the corresponding g factor in low- and medium-Z ions.

scholarly journals Some recent advances in bound-state quantum electrodynamics

2005 ◽  
Vol 83 (4) ◽  
pp. 375-386 ◽  
Author(s):  
U D Jentschura ◽  
J Evers
Keyword(s):  
Effective Field Theories ◽  
Quantum Electrodynamics ◽  
Lamb Shift ◽  
Recent Progress ◽  
Bound State ◽  
Effective Field ◽  
Field Theories ◽  
Nonrelativistic Quantum ◽  
Self Energy ◽  
Bound Electron

We discuss recent progress in various problems related to bound-state quantum electrodynamics: the bound-electron g factor, two-loop self-energy corrections, and the laser-dressed Lamb shift. The progress relies on various advances in the bound-state formalism, including ideas inspired by effective field theories such as nonrelativistic quantum electrodynamics. Radiative corrections in dynamical processes represent a promising field for further investigations. PACS Nos.: 31.15.–p, 12.20.Ds

Transition probability between the hyperfine structure components of hydrogenlike ions and bound-electron g-factor

1998 ◽  
Vol 76 (11) ◽  
pp. 907-910 ◽  
Author(s):  
V M Shabaev
Keyword(s):  
Hyperfine Structure ◽  
Quantum Electrodynamic ◽  
Transition Probability ◽  
Nuclear Size ◽  
G Factor ◽  
Bound Electron

The transition probability between the hyperfine splittingcomponents of a hydrogenlike ion is expressed in terms of thebound-electron g-factor. It allows a simple calculationof the QED (quantum electrodynamic) and nuclear-size corrections to the transition probability by using thecorresponding corrections to the bound-electron g-factor.In experimentally interesting cases of Ho, Re, Pb, and Bithe QED corrections increase the transition probability by about 0.3%.Using a recent experimental value for the transition probabilitybetween the hyperfine structure components in 207Pb81+it is foundthat the bound-electron g-factor in lead amounts to 1.78(12).The corresponding theoretical value is 1.7383.\\\\PACS Nos.:12.20Ds, 31.30Gs, and 31.30Jv

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