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

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

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

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 Energy spectra of muonic atoms in quantum electrodynamics

2019 ◽  
Vol 204 ◽  
pp. 05007 ◽  
Author(s):  
A. E. Dorokhov ◽  
A. A. Krutov ◽  
A. P. Martynenko ◽  
F. A. Martynenko ◽  
O. S. Sukhorukova
Keyword(s):  
Experimental Data ◽  
Perturbation Theory ◽  
Energy Spectrum ◽  
Hyperfine Structure ◽  
Nuclear Structure ◽  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
Energy Spectra ◽  
Hyperfine Splittings ◽  
S States

Vacuum polarization, nuclear structure and recoil, radiative corrections to the hyperfine structure of S-states in muonic ions of lithium, beryllium and boron are calculated on the basis of quasipotential method in quantum electrodynamics. We consider contributions in first and second orders of perturbation theory which have the order α5 and α6 in the energy spectrum. Total values of hyperfine splittings are obtained which can be used for a comparison with future experimental data.

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