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

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

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g factor of the bound electron and muon

Canadian Journal of Physics ◽

10.1139/p07-024 ◽

2007 ◽

Vol 85 (5) ◽

pp. 541-549 ◽

Cited By ~ 4

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

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The Uehling correction to the energy levels in a pionic atom

Canadian Journal of Physics ◽

10.1139/p06-010 ◽

2006 ◽

Vol 84 (2) ◽

pp. 107-113 ◽

Cited By ~ 6

Author(s):

S G Karshenboim ◽

E Yu. Korzinin ◽

V G Ivanov

Keyword(s):

Free Electron ◽

Vacuum Polarization ◽

Energy Levels ◽

Analytic Form ◽

Electron Mass ◽

Mass Ratio ◽

Pionic Atom ◽

Closed Analytic Form

We consider a correction to energy levels in a pionic atom induced by the Uehling potential, i.e., by a free electron vacuum-polarization loop. The calculation is performed for circular states (l = n1). The result is obtained in a closed analytic form as a function of Zα and the pion-to-electron mass ratio. Certain asymptotics of the result are also presented.PACS Nos.: 12.20.Ds, 36.10.Gv

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Vacuum polarization in a hydrogen-like relativistic atom: g factor of a bound electron

Journal of Experimental and Theoretical Physics ◽

10.1134/1.1410592 ◽

2001 ◽

Vol 93 (3) ◽

pp. 477-484 ◽

Cited By ~ 46

Author(s):

S. G. Karshenboim ◽

V. G. Ivanov ◽

V. M. Shabaev

Keyword(s):

Vacuum Polarization ◽

G Factor ◽

Relativistic Atom ◽

Bound Electron

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

Physics Letters A ◽

10.1016/s0375-9601(02)00021-x ◽

2002 ◽

Vol 297 (5-6) ◽

pp. 408-411 ◽

Cited By ~ 53

Author(s):

D.A. Glazov ◽

V.M. Shabaev

Keyword(s):

Nuclear Size ◽

G Factor ◽

Hydrogenlike Atom ◽

Size Correction ◽

Bound Electron

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Structure factors for generalized grey Browinian motion

Fractional Calculus and Applied Analysis ◽

10.1515/fca-2019-0024 ◽

2019 ◽

Vol 22 (2) ◽

pp. 396-411

Author(s):

José L. da Silva ◽

Ludwig Streit

Keyword(s):

Gaussian Processes ◽

Form Factors ◽

Analytic Form ◽

Debye Function ◽

Asymptotic Decay ◽

Structure Factors ◽

Closed Analytic Form ◽

Non Gaussian

Abstract In this paper we investigate the form factors of paths for a class of non Gaussian processes. These processes are characterized in terms of the Mittag-Leffler function. In particular, we obtain a closed analytic form for the form factors, the Debye function, and can study their asymptotic decay.

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