Theory of the n = 2 levels in muonic helium-3 ions

Beatrice Franke*, Julian J. Krauth, Aldo Antognini, Marc Diepold, Franz Kottmann, Randolf Pohl

*Corresponding author for this work

Research output: Contribution to JournalReview articleAcademicpeer-review


Abstract: The present knowledge of Lamb shift, fine-, and hyperfine structure of the 2S and 2P states in muonic helium-3 ions is reviewed in anticipation of the results of a first measurement of several 2S → 2P transition frequencies in the muonic helium-3 ion, μ3He+. This ion is the bound state of a single negative muon μ- and a bare helium-3 nucleus (helion), 3He++.A term-by-term comparison of all available sources, including new, updated, and so far unpublished calculations, reveals reliable values and uncertainties of the QED and nuclear structure-dependent contributions to the Lamb shift and the hyperfine splitting. These values are essential for the determination of the helion rms charge radius and the nuclear structure effects to the hyperfine splitting in μ3He+. With this review we continue our series of theory summaries in light muonic atoms [see A. Antognini et al., Ann. Phys. 331, 127 (2013); J.J. Krauth et al., Ann. Phys. 366, 168 (2016); and M. Diepold et al. arXiv:1606.05231 (2016)]. Graphical abstract: [Figure not available: see fulltext.].

Original languageEnglish
Article number341
JournalEuropean Physical Journal D
Issue number12
Publication statusPublished - 1 Dec 2017


  • Atomic Physics


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