Effects of vacuum polarization and of proton polarizability in the Lamb shift of muonic hydrogen

2001 ◽  
Vol 64 (7) ◽  
pp. 1282-1287 ◽  
Author(s):  
A. P. Martynenko ◽  
R. N. Faustov
Keyword(s):  
Lamb Shift ◽  
Vacuum Polarization ◽  
Muonic Hydrogen

scholarly journals Hadronic vacuum-polarization contribution to various QED observables

2021 ◽  
Vol 75 (2) ◽  
Author(s):  
Savely G. Karshenboim ◽  
Valery A. Shelyuto
Keyword(s):  
Quantum Electrodynamics ◽  
Lamb Shift ◽  
Vacuum Polarization ◽  
Muonic Hydrogen ◽  
New Physics ◽  
Order Effects ◽  
Indirect Determination ◽  
Standard Data ◽  
Conservative Estimation

Abstract Due to precision tests of quantum electrodynamics (QED), determination of accurate values of fundamental constants, and constraints on new physics, it is important in a consistent way to evaluate a number of QED observables such as the Lamb shift in hydrogen-like atomic systems. Even in a pure leptonic case, those QED variables are in fact not pure QED ones since hadronic effects are involved through intermediate states while accounting for higher-order effects. One of them is hadronic vacuum polarization (hVP). Complex evaluations often involve a number of QED quantities, for which treatment of hVP is not consistent. The highest accuracy for a calculation of the hVP term is required for the anomalous magnetic moment of a muon. However, a standard data-driven treatment of hVP, based on a dispersion integration of experimental data on electron-positron annihilation to hadrons and some other phenomena, leads to a contradiction with the experimental value of $$a_\mu $$ a μ . This experimental value can be considered as an indirect determination of the hVP contribution to $$a_\mu $$ a μ and the scatter of theory and experiment allows one to obtain a conservative estimation of the related hVP contribution. In this paper, we derive exact and approximate relations between the leading-order (LO) hVP contributions to various observables. Using those relations, we obtain for them a consistent set of the results, based on the scatter of $$a_\mu $$ a μ values. While calculating the LO hVP term, we have to remember that next-to-LO (NLO) hVP corrections are often comparable with the uncertainty of the LO term. Special attention is payed to hVP contribution to simple atoms. In particular, we discuss the NLO contribution to the Lamb shift in ordinary and muonic hydrogen and other two-body atoms for $$Z\le 10$$ Z ≤ 10 . We also consider the NLO contribution of the muonic vacuum polarization to the Lamb shift in hydrogen-like atoms. With the $$a_\mu $$ a μ puzzle unresolved, one may still require present-days values of the hVP contributions to various observable for comparison to experiment etc. the presence of contradicting values and a lack of consistency means an additional uncertainty for $$a_\mu $$ a μ and for key contributions to it, including the LO hVP one. We present here an estimation of such a propagated uncertainty in hVP contributions to different QED observables and recommend a consistent set of the related LO hVP contributions. Graphic Abstract

scholarly journals The sigma-meson exchange contribution to the muonic hydrogen Lamb shift

2019 ◽  
Vol 212 ◽  
pp. 07003 ◽  
Author(s):  
A.E. Dorokhov ◽  
A.P. Martynenko ◽  
F.A. Martynenko ◽  
A.E. Radzhabov
Keyword(s):  
Experimental Data ◽  
Lamb Shift ◽  
Scalar Meson ◽  
Muonic Hydrogen ◽  
Meson Exchange ◽  
Exchange Contribution ◽  
Meson Coupling ◽  
Decay Widths ◽  
Precise Experimental Data ◽  
Sigma Meson

The sigma(ξ)meson exchange contribution to the potential of the muon-proton interactionin muonichydrogen inducedbythe ξ-meson coupling to two photons is estimated. The transition form factor ξ → γγ is deduced from the quark model and experimental data on the decay widths Γσγγ. It is shown that scalar meson exchange contribution to the Lamb shift in muonic hydrogen, △ELs(2P−2S ),is rather large and relevant for a comparison with coming precise experimental data.

Vacuum polarization in muonic and exotic atoms: the Lamb shift at medium Z and high n

2007 ◽  
Vol 85 (5) ◽  
pp. 551-561 ◽  
Author(s):  
E Yu. Korzinin ◽  
V G Ivanov ◽  
S G Karshenboim
Keyword(s):  
Quantum Number ◽  
Lamb Shift ◽  
Vacuum Polarization ◽  
Principal Quantum Number ◽  
Energy Levels ◽  
Exotic Atoms ◽  
Atomic States

We present new results on various asymptotics for the Uehling contribution to the energy levels in atomic states in hydrogen-like atoms that have a principal quantum number n with a high value. The results may be applied to conventional atoms (with an orbiting electron) as well as to muonic, pionic, antiprotonic, and other exotic atoms.PACS Nos.: 36.10.Gv, 31.30.Jv

scholarly journals Hadronic vacuum polarization and the Lamb shift

1999 ◽  
Vol 59 (5) ◽  
pp. 4061-4063 ◽  
Author(s):  
J. L. Friar ◽  
J. Martorell ◽  
D. W. L. Sprung
Keyword(s):  
Lamb Shift ◽  
Vacuum Polarization

Exact two-loop vacuum polarization correction to the Lamb shift in hydrogenlike ions

1998 ◽  
Vol 1 (2) ◽  
pp. 177-185 ◽  
Author(s):  
G. Plunien ◽  
T. Beier ◽  
Gerhard Soff ◽  
H. Persson
Keyword(s):  
Lamb Shift ◽  
Vacuum Polarization ◽  
Polarization Correction
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