The determination of Lamb shift from the anisotropy quenching radiation from metastable hydrogenic atoms

2005 ◽  
pp. 215-229
Author(s):  
P. S. Farago
Keyword(s):  
Lamb Shift

scholarly journals Quantum electrodynamics with self-conjugated equations with spinor wave functions for fermion fields

2021 ◽  
pp. 2150086
Author(s):  
V. P. Neznamov ◽  
V. E. Shemarulin
Keyword(s):  
Cross Sections ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Quantum Electrodynamics ◽  
Lamb Shift ◽  
Wave Functions ◽  
Self Energy ◽  
Fermion Fields ◽  
Spinor Wave

Quantum electrodynamics (QED) with self-conjugated equations with spinor wave functions for fermion fields is considered. In the low order of the perturbation theory, matrix elements of some of QED physical processes are calculated. The final results coincide with cross-sections calculated in the standard QED. The self-energy of an electron and amplitudes of processes associated with determination of the anomalous magnetic moment of an electron and Lamb shift are calculated. These results agree with the results in the standard QED. Distinctive feature of the developed theory is the fact that only states with positive energies are present in the intermediate virtual states in the calculations of the electron self-energy, anomalous magnetic moment of an electron and Lamb shift. Besides, in equations, masses of particles and antiparticles have the opposite signs.

A precision determination of the Lamb shift in hydrogen

1979 ◽  
Vol 290 (1373) ◽  
pp. 373-404 ◽  
Keyword(s):  
Elementary Particle ◽  
Quantum Electrodynamics ◽  
Particle Physics ◽  
Lamb Shift ◽  
Ion Source ◽  
Interaction Region ◽  
Zero Magnetic Field ◽  
Zero Field ◽  
Hydrogen Atoms

For over 40 years, optical and microwave spectroscopists, and atomic, nuclear and elementary particle physicists have been engaged in measuring the 2 2 S ½ -2 2 P ½ energy level separation in atomic hydrogen (the Lamb shift) and attempting to predict the splitting theoretically. The discrepancies encountered have influenced the development of theoretical methods of calculation in the areas of atomic structure, quantum electrodynamics and elementary particle physics. In this paper we present the results of a precision microwave determination of the Lamb shift, using a fast atomic beam and a single microwave interaction region. The value obtained is in substantial agreement with the earlier determinations and with the recent calculation by Mohr but is in disagreement with the earlier calculation by Erickson. This disagreement is further accentuated if recent modifications to the size of the proton are included, whereas the agreement with Mohr’s calculation is not affected. The experimental method uses a 21 keV beam of metastable 2 s hydrogen atoms which are obtained by charge exchange of a proton beam extracted from a radio frequency (r.f.) ion source. The experiment is performed in essentially zero magnetic field and uses a precision transmission line interaction region to induce r.f. transitions at the Lamb shift frequency. The result for the 2 2 S ½ F = 0 to 2 2 P ½ F = 1 interval in zero field is 909.904 ± 0.020 MHz corresponding to a Lamb shift of 1057.862 ± 0.020 MHz. The paper discusses the method and the host of corrections for systematic effects which need to be applied to the line centre, many of which have not been sufficiently understood or controlled in previous experiments. The paper is introduced with a brief survey of significant landmarks in calculation and measurement of the Lamb shift and concludes with a comparison of the present theoretical and experimental positions.

scholarly journals Precise determination of the 1s Lamb shift in hydrogen-like lead and gold using microcalorimeters

2017 ◽  
Vol 50 (5) ◽  
pp. 055603 ◽  
Author(s):  
S Kraft-Bermuth ◽  
V Andrianov ◽  
A Bleile ◽  
A Echler ◽  
P Egelhof ◽  
...  
Keyword(s):  
Lamb Shift ◽  
Precise Determination

Determination of the 1s Lamb shift in one-electron argon recoil ions

1985 ◽  
Vol 18 (2) ◽  
pp. 207-215 ◽  
Author(s):  
H F Beyer ◽  
R D Deslattes ◽  
F Folkmann ◽  
R E LaVilla
Keyword(s):  
Lamb Shift ◽  
Recoil Ions

Precise determination of the 1s Lamb Shift in hydrogen-like heavy ions at the ESR storage ring using microcalorimeters

2015 ◽  
Vol T166 ◽  
pp. 014028 ◽  
Author(s):  
S Kraft-Bermuth ◽  
V Andrianov ◽  
A Bleile ◽  
A Echler ◽  
P Egelhof ◽  
...  
Keyword(s):  
Storage Ring ◽  
Heavy Ions ◽  
Lamb Shift ◽  
Precise Determination

Absolute wavelength measurement of the Lyman-α transition of hydrogen-like silicon

2002 ◽  
Vol 80 (8) ◽  
pp. 867-874 ◽  
Author(s):  
J Tschischgale ◽  
D Klöpfel ◽  
P Beiersdorfer ◽  
G V Brown ◽  
E Förster ◽  
...  
Keyword(s):  
Electron Beam ◽  
Lamb Shift ◽  
Ion Trap ◽  
Wavelength Measurement ◽  
Electron Beam Ion Trap ◽  
Absolute Measurements ◽  
Good Agreement

The wavelengths of the 1s1/2–2p1/2 and 1s1/2–2p3/2 Lyman-α transitions have been measured in hydrogenic silicon with an accuracy of 70 ppm. The measurement was carried out with an electron-beam ion trap with a calibrated double-faced monolithic crystal that enabled absolute measurements of the transition wavelengths. The values for the Lyman-α wavelengths are λLyα1 = 6.180 49(44) Å and λLyα2 = 6.185 56(66) Å. The wavelengths are in good agreement with calculations and allow a determination of the 1s Lamb shift to within 28% in a region that has received little experimental attention. PACS Nos.:32.30Rj, 31.30Jv

Determination of the Hydrogenic-Carbon Lamb Shift via2S12Metastable Quenching

1971 ◽  
Vol 27 (24) ◽  
pp. 1625-1628 ◽  
Author(s):  
D. E. Murnick ◽  
M. Leventhal ◽  
H. W. Kugel
Keyword(s):  
Lamb Shift

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

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