Semi-analytic approach to higher-order corrections in simple muonic bound systems: Vacuum polarization, self-energy and radiative-recoil

Wundt, Benedikt J.

doi:10.1140/epjd/e2011-20338-2

Cited by 22 publications

(30 citation statements)

References 22 publications

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“…A year ago one might have worried that some of the corrections were single-sourced, i.e., had been calculated by only one person or group. Today, any thinkably important correction has been multiply checked; some reviews and/or additional small corrections are given in [3,4,31,32]. We shall mention here only a few topics, mainly the higher order twophoton corrections to the spectroscopy (because of its relevance to the discussion of the sources of the discrepancy), the two-photon corrections to scattering measurements (because they are still somewhat unsettled, though not apparently a decisive problem), and the lattice gauge theory proton radius results (because they may be very relevant in the future).…”

Section: Calculating the Proton Radius Dependencementioning

confidence: 99%

The proton radius puzzle

Carlson

2015

Progress in Particle and Nuclear Physics

252

164

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The proton size, specifically its charge radius, was thought known to about 1% accuracy. Now a new method probing the proton with muons instead of electrons finds a radius about 4% smaller, and to boot gives an uncertainty limit of about 0.1%. We review the different measurements, some of the calculations that underlie them, some of the suggestions that have been made to resolve the conflict, and give a brief overview new related experimental initiatives. At present, however, the resolution to the problem remains unknown.

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Section: Calculating the Proton Radius Dependencementioning

confidence: 99%

The proton radius puzzle

Carlson

2015

Progress in Particle and Nuclear Physics

252

164

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“…5. Again, by comparing the theoretical prediction of many authors [33][34][35][66][67][68][69][70][71][72][73], as summarized by us [74], values of the alpha-particle and helion charge radii can be deduced with an accuracy of about 3×10 −4 . These will be compared with the values from electron scattering [75,76] and He spectroscopy [77][78][79][80][81][82][83].…”

Section: Muonic Helium Ionsmentioning

confidence: 87%

Laser Spectroscopy of Muonic Atoms and Ions

Pohl

Szabo²,

Fernandes³

et al. 2015

Frontiers in Optics 2015

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Laser spectroscopy of the Lamb shift (2S-2P energy difference) in light muonic atoms or ions, in which one negative muon µ − is bound to a nucleus, has been performed. The measurements yield significantly improved values of the root-mean-square charge radii of the nuclei, owing to the large muon mass, which results in a vastly increased muon wave function overlap with the nucleus. The values of the proton and deuteron radii are 10 and 3 times more accurate than the respective CODATA values, but 7 standard deviations smaller. Data on muonic helium-3 and -4 ions is being analyzed and will give new insights. In future, the (magnetic) Zemach radii of the proton and the helium-3 nuclei will be determined from laser spectroscopy of the 1S hyperfine splittings, and the Lamb shifts of muonic Li, Be and B can be used to improve the respective charge radii.

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“…Jentschura and Wundt calculated some Lamb shift contributions in their Refs. [50,51]. They are referred to as "Jentschura" for simplicity.…”

Section: Overviewmentioning

confidence: 99%

“…28) they use the more exact calculation from Jentschura. Jentschura [50] (Eq. 29), and the Karshenboim group [52] (Tab.…”

Section: Nuclear Structure-independent Contributionsmentioning

confidence: 99%

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

et al. 2017

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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, µ 3 He + . This ion is the bound state of a single negative muon µ − and a bare helium-3 nucleus (helion), 3 He ++ . 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 µ 3 He + . With this review we continue our series of theory summaries in light muonic atoms [see Antognini et al., Ann. Phys. 331, 127 (2013); Krauth et al., Ann. Phys. 366, 168 (2016); and Diepold et al., arXiv:1606.05231 (2016)].Key words. muonic atoms and ions -Lamb shift -hyperfine structure -fine structure -QED -proton radius puzzle a authors contributed equally b and electron scattering. This discrepancy has been coined "proton radius puzzle" [7,8,9]. However, the discrepancy exists for the deuteron, too. Interestingly, for the proton and the deuteron, the muonic isotope shift is compatible with the electronic one from the 1S-2S transition in H and D [10,11]. The respective radii are r p (µp) = 0.84087 ( 26) exp (29) th = 0.84087( 39) fm [1, 2] (1) r p (CODATA 14) = 0.87510(610) fm [6] (2) r d (µd) = 2.12562( 13) exp (77) th = 2.12562( 78) fm [4] (3) r d (CODATA 14) = 2.14130(250) fm. [6] (4)Very recently, the CREMA collaboration has measured a total of five transitions in muonic helium-3 and -4 ions [12], which have been analyzed now.

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Semi-analytic approach to higher-order corrections in simple muonic bound systems: Vacuum polarization, self-energy and radiative-recoil

Cited by 22 publications

References 22 publications

The proton radius puzzle

The proton radius puzzle

Laser Spectroscopy of Muonic Atoms and Ions

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

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