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

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

doi:10.1140/epjd/e2017-80296-1

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 Journal › Review article › Academic › peer-review

Abstract

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helium-3 nucleus (helion), ³He⁺⁺.A term-by-term comparison of all available sources, including new, updated, and so far unpublished calculations, reveals reliable values and uncertainties of the QED and nuclear structure-dependent contributions to the Lamb shift and the hyperfine splitting.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 language	English
Article number	341
Journal	European Physical Journal D
Volume	71
Issue number	12
DOIs	https://doi.org/10.1140/epjd/e2017-80296-1
Publication status	Published - 1 Dec 2017

Funding

The authors acknowledge support from the European Research Council (ERC) through StG. #279765 and CoG. #725039, and the Swiss National Science Foundation SNF, Projects 200021L 138175 and 200021 165854. Open access funding provided by Max Planck Society.

Funders	Funder number
European Research Council
Horizon 2020 Framework Programme	725039
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung	138175
Swiss National Science Foundation SNF	200021L 138175, 200021 165854
European Commission	279765

Keywords

Atomic Physics

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

abstract = "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.].",

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T1 - Theory of the n = 2 levels in muonic helium-3 ions

AU - Franke, Beatrice

AU - Krauth, Julian J.

AU - Antognini, Aldo

AU - Diepold, Marc

AU - Kottmann, Franz

AU - Pohl, Randolf

PY - 2017/12/1

Y1 - 2017/12/1

N2 - 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.].

AB - 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.].

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

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