Radiative-nonrecoil corrections of order<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mi>α</mml:mi><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mi>Z</mml:mi><mml:mi>α</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>F</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>to the hyperfine splitting of muonium

Mondejar, Jorge; Piclum, Jan; Czarnecki, Andrzej

doi:10.1103/physreva.81.062511

Cited by 11 publications

(2 citation statements)

References 40 publications

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“…is the magnetic field parameter, and x = 1 corresponds to magnetic field B ≈ 0.1585 T. The There has been recent activity in evaluating additional higher order individual contributions to the M energy levels, including in particular the ground state HFS. 29,[39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55] The prospects for theory are that 10 Hz precision can be reached for ∆ν HFS . 29 At this moment we are awaiting a new and fully coherent compilation of all to date calculated terms which enables an accurate comparison of theory values with a measurable quantity.…”

Section: Theorymentioning

confidence: 99%

Precision Muonium Spectroscopy

Jungmann

2016

J. Phys. Soc. Jpn.

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The muonium atom is the purely leptonic bound state of a positive muon and an electron. It has a lifetime of 2.2 $\mu$s. The absence of any known internal structure provides for precision experiments to test fundamental physics theories and to determine accurate values of fundamental constants. In particular groun dstate hyperfine structure transitions can be measured by microwave spectroscopy to deliver the muon magnetic moment. The frequency of the 1s-2s transition in the hydrogen-like atom can be determined with laser spectroscopy to obtain the muon mass. With such measurements fundamental physical interactions, in particular Quantum Electrodynamics, can also be tested at highest precision. The results are important input parameters for experiments on the muon magnetic anomaly. The simplicity of the atom enables further precise experiments, such as a search for muonium-antimuonium conversion for testing charged lepton number conservation and searches for possible antigravity of muons and dark matter.Comment: accepted for JPS

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Section: Theorymentioning

confidence: 99%

Precision Muonium Spectroscopy

Jungmann

2016

J. Phys. Soc. Jpn.

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“…Finally, m, M p and M are respectively the masses of the electron, proton and nucleus. QED corrections without recoil terms have been known for some time [11][12][13][14][15] and may be expressed as…”

Section: Introductionmentioning

confidence: 99%

Higher-order corrections to spin-spin scalar interactions in HD$^+$ and H$_2^+$

Karr,

Haidar,

Hilico

et al. 2020

Preprint

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The largest hyperfine interaction coefficients in the hydrogen molecular ion HD + , i.e. the electronproton and electron-deuteron spin-spin scalar interactions, are calculated with estimated uncertainties slightly below 1 ppm. The (Zα) 2 EF relativistic correction, for which a detailed derivation is presented, QED corrections up to the order α 3 ln 2 (α) along with an estimate of higher-order terms, and nuclear structure corrections are taken into account. Improved results are also given for the electron-proton interaction coefficient in H + 2 , in excellent agreement with RF spectroscopy experiments. In HD + , a 4σ difference is found in the hyperfine splitting of the (v, L) = (0, 3) → (9, 3) two-photon transition that was recently measured with high precision. The origin of this discrepancy is unknown.

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Magnetic moment of a bound electron

Czarnecki¹,

Dowling²,

Mondejar³

et al. 2010

Nuclear Physics B - Proceedings Supplements

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Theoretical predictions underlying determinations of the fine structure constant α and the electron-to-proton mass ratio me/mp are reviewed, with the emphasis on the bound electron magnetic anomaly g − 2. The theory of the interaction of hydrogen-like ions with a magnetic field is discussed. The status of efforts aimed at the determination of O α(Zα)corrections to the g factor is presented. The reevaluation of analogous corrections to the Lamb shift and the hyperfine splitting is summarized.

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Radiative-nonrecoil corrections of orderα2(Zα)EFto the hyperfine splitting of muonium

Cited by 11 publications

References 40 publications

Precision Muonium Spectroscopy

Precision Muonium Spectroscopy

Higher-order corrections to spin-spin scalar interactions in HD$^+$ and H$_2^+$

Magnetic moment of a bound electron

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