Theory of the Lamb Shift in Hydrogen and Light Hydrogen‐Like Ions - INSPIRE

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Theory of the Lamb Shift in Hydrogen and Light Hydrogen‐Like Ions

Sep 3, 2018

Published in:

Annalen Phys. 531 (2019) 5, 1800324

Published: May 1, 2019

e-Print:

1809.00462 [physics.atom-ph]

DOI:

10.1002/andp.201800324 (publication)

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Abstract: (WILEY)

Theoretical calculations of the Lamb shift provide the basis required for the determination of the Rydberg constant from spectroscopic measurements in hydrogen. The recent high‐precision determination of the proton charge radius drastically reduces the uncertainty in the hydrogen Lamb shift originating from the proton size. As a result, the dominant theoretical uncertainty now comes from the two‐ and three‐loop QED effects, which calls for further advances in their calculations. The present status of theoretical calculations of the Lamb shift in hydrogen and light hydrogen‐like ions with the nuclear charge number up to ${MathJax: TeX-AMS-MML_HTMLorMML}Z=5is reviewed. Theoretical errors due to various effects are critically examined and estimated.

hydrogen‐like atoms
Lamb shift
quantum electrodynamical effects
Rydberg constant

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Figures(0)

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