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

2018/09/03 by V. A. Yerokhin, Vladimir A. Yerokhin, Krzysztof Pachucki +2 · 1 voice · 1 citation
Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Frequency and Time Standards #Atomic and Molecular Physics #physics.atom-ph

paper · pdf · doi:10.1002/andp.201800324

openalex publication_date 2018/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Abstract 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 is reviewed. Theoretical errors due to various effects are critically examined and estimated.

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Discussions

• As a general source, you could look at the CODATA22 review: Mohr, Newell, Taylor, Tiesinga: CODATA Recommended Values of the Fundamental Physical Constants: 2022 Below, I try to give some more specifi [stackexchange, 7 points]

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