scholarly journals Finite nuclear size correction to the bound-electron g factor in a hydrogenlike atom

2002 ◽  
Vol 297 (5-6) ◽  
pp. 408-411 ◽  
Author(s):  
D.A. Glazov ◽  
V.M. Shabaev
Keyword(s):  
Nuclear Size ◽  
G Factor ◽  
Hydrogenlike Atom ◽  
Size Correction ◽  
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

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

Some analytic results on the Uehling correction to the g-factor of a bound electron (muon)

2001 ◽  
Vol 79 (1) ◽  
pp. 81-86 ◽  
Author(s):  
S G Karshenboim ◽  
V G Ivanov ◽  
V M Shabaev
Keyword(s):  
Ground State ◽  
Vacuum Polarization ◽  
Nuclear Charge ◽  
Numerical Data ◽  
Analytic Form ◽  
G Factor ◽  
Muonic Atoms ◽  
Hydrogenlike Atom ◽  
Closed Analytic Form ◽  
Bound Electron

We calculate vacuum-polarization corrections to the g-factor of a bound electron in the ground state of a hydrogenlike atom. The result is found in a closed analytic form for an arbitrary value of the nuclear charge Z. It is valid for both electronic and muonic atoms. Some useful asymptotics are also presented. The result for the electronic atoms is consistent with published numerical data. PACS Nos.: 31.30Jv

Nuclear size correction to the electron self-energy

1993 ◽  
Vol 70 (2) ◽  
pp. 158-161 ◽  
Author(s):  
Peter J. Mohr ◽  
Gerhard Soff
Keyword(s):  
Nuclear Size ◽  
Self Energy ◽  
Size Correction

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.

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