Measurement of the Unperturbed Hydrogen Hyperfine Transition Frequency

Hellwig, H.; Vessot, R. F. C.; Levine, M. W.; Zitzewitz, P. W.; Allan, David W.; Glaze, D. J.

doi:10.1109/tim.1970.4313902

Cited by 177 publications

(117 citation statements)

References 25 publications

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“…Hyperfine splitting in the ground state of hydrogen is one of the most precisely measured quantities in modern physics [287,288] (see for more details Section XL A below), and to 207 for the Lamb shifts. Theoretical uncertainty of the isotope shift is mainly determined by the unknown single logarithmic and nonlogarithmic contributions of order (Zα) 7 (m/M) and α(Zα) 6 (m/M) (see Sections XIV and XVI), and also by the uncertainties of the deuteron size and structure contributions discussed in Section VII.…”

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confidence: 99%

Theory of light hydrogenlike atoms

2001

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The present status and recent developments in the theory of light hydrogenic atoms, electronic and muonic, are extensively reviewed. The discussion is based on the quantum field theoretical approach to loosely bound composite systems. The basics of the quantum field theoretical approach, which provide the framework needed for a systematic derivation of all higher order corrections to the energy levels, are briefly discussed. The main physical ideas behind the derivation of all binding, recoil, radiative, radiative-recoil, and nonelectromagnetic spin-dependent and spin-independent corrections to energy levels of hydrogenic atoms are discussed and, wherever possible, the fundamental elements of the derivations of these corrections are provided. The emphasis is on new theoretical results which were not available in earlier reviews. An up-to-date set of all theoretical contributions to the energy levels is contained in the paper. The status of modern theory is tested by comparing the theoretical results for the energy levels with the most precise experimental results for the Lamb shifts and gross structure intervals in hydrogen, deuterium, and helium ion He + , and with the experimental data on the hyperfine splitting in muonium, hydrogen and deuterium. *

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confidence: 99%

Theory of light hydrogenlike atoms

2001

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“…The experimental value of the hydrogen hyperfine splitting was obtained with very high accuracy [1]:…”

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Proton polarizability contribution to hydrogen hyperfine splitting

Фаустов

Martynenko

2002

Eur. Phys. J. C

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“…The hyperfine splitting of the ground state of hydrogen is one of the most accurate measurements made by mankind [33,34]. Upon comparison of this result to the QED contributions which are (partially) known up to O(m e α 8 ) and the inclusion of the leading recoil corrections, we can obtain a prediction of the TPE hyperfine energy shift …”

Section: The Hf Splitting In Hydrogenmentioning

confidence: 94%

Effective field theories for muonic hydrogen

Peset

2017

EPJ Web Conf.

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Abstract. Experimental measurements of muonic hydrogen bound states have recently started to take place and provide a powerful setting in which to study the properties of QCD. We profit from the power of effective field theories (EFTs) to provide a theoretical framework in which to study muonic hydrogen in a model independent fashion. In particular, we compute expressions for the Lamb shift and the hyperfine splitting. These expressions include the leading logarithmic O(m µ α 6 ) terms, as well as the leading) hadronic effects. Most remarkably, our analyses include the determination of the spin-dependent and spin-independent structure functions of the forward virtualphoton Compton tensor of the proton to O(p 3 ) in HBET and including the Delta particle. Using these results we obtain the leading hadronic contributions to the Wilson coefficients of the lepton-proton four fermion operators in NRQED. The spin-independent coefficient yields a pure prediction for the two-photon exchange contribution to the muonic hydrogen Lamb shift, which is the main source of uncertainty in our computation. The spindependent coefficient yields the prediction of the hyperfine splitting. The use of EFTs crucially helps us organizing the computation, in such a way that we can clearly address the parametric accuracy of our result. Furthermore, we review in the context of NRQED all the contributions to the energy shift of O(m µ α 5 ), as well as those that scale like m r α 6 × logarithms.

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Measurement of the Unperturbed Hydrogen Hyperfine Transition Frequency

Cited by 177 publications

References 25 publications

Theory of light hydrogenlike atoms

Theory of light hydrogenlike atoms

Proton polarizability contribution to hydrogen hyperfine splitting

Effective field theories for muonic hydrogen

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