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Hagley, Edward W.; Pipkin, F. M.

doi:10.1103/physrevlett.72.1172

Cited by 116 publications

(108 citation statements)

References 23 publications

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“…Our result for the fine structure disagrees with that used by Hagley and Pipkin in [19] for the determination of L(2S − 2P 1/2 ). Therefore their result of L(2S − 2P 1/2 ) = 1057839(12) is to be modified and according to our calculation it should be…”

Section: Results and Conclusioncontrasting

confidence: 56%

“…One is the classic 2S 1/2 -2P 1/2 Lamb shift measured by several groups [20], [21], [19], and the second is the combined Lamb shift L(4S − 2S) − 1 4 L(2S − 1S) as measured by the Hänsch group (for a review see [22]). The experimental value of 2S Lamb shift can be extracted from E(2S-2P 1/2 ) having the precise value for 2P 1/2 Lamb shift, and can also be determined from the combined Lamb shift through the formula…”

Section: Results and Conclusionmentioning

confidence: 99%

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Higher-order binding corrections to the Lamb shift of 2Pstates

1996

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We present an improved calculation of higher order corrections to the oneloop self energy of 2P states in hydrogen-like systems with small nuclear charge Z. The method is based on a division of the integration with respect to the photon energy into a high and a low energy part. The high energy part is calculated by an expansion of the electron propagator in powers of the Coulomb field. The low energy part is simplified by the application of a FoldyWouthuysen transformation. This transformation leads to a clear separation of the leading contribution from the relativistic corrections and removes higher order terms. The method is applied to the 2P 1/2 and 2P 3/2 states in atomic hydrogen. The results lead to new theoretical values for the Lamb shifts and the fine structure splitting.

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Section: Results and Conclusioncontrasting

confidence: 56%

Section: Results and Conclusionmentioning

confidence: 99%

Higher-order binding corrections to the Lamb shift of 2Pstates

1996

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“…All corrections may be obtained by substituting the explicit expression for the sum of vacuum polarizations in the skeleton integral eq. (316). In this skeleton integral, part of the recoil correction corresponding to the factor 1/(1 + m/M) is subtracted and this explains why we have restored this factor in consideration of the nonrecoil part of the vacuum polarization.…”

Section: Muon-line Contribution Of Ordermentioning

confidence: 99%

“…Respective corrections could easily be calculated by substituting the expressions for the heavy particle polarizations in the unsubtracted skeleton integral in eq. (316). However, only the polarization operator of the heavy lepton τ may be calculated analytically.…”

Section: Heavy Particle Polarization Contributions Of Order α(Zα) E Fmentioning

confidence: 99%

“…A natural way to obtain a self-consistent value of the 1S Lamb shift independent of the experimental data on the 2S −2P splitting, is provided by the theoretical relation between the 1S and 2S Lamb shifts discussed above in Section XXXIX C. An important advantage of the self-consistent method is that it produces an unbiased value of the L(1S) Lamb shift independent of the widely scattered experimental data on the 2S − 2P interval. Spectacular experimental progress in the frequency measurement now allows one to obtain self-consistent values of 1S Lamb shift from the experimental data [3], with comparable or even better accuracy (see five lines in Table XXI below the theoretical values in the middle of the Table) than in the method based on experimental results of the classic Lamb shift in [320,316]. The original experimental numbers from [3,311] in the fourth and fifth lines in Table XXI are averages of the self-consistent values and the values based on the classic Lamb shift.…”

Section: Comparison Of Theory and Experimentsmentioning

confidence: 99%

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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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References

2009

Molecular Quantum Electrodynamics

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Separated oscillatory field measurement of hydrogen 2S1/2-2P3/

Cited by 116 publications

References 23 publications

Higher-order binding corrections to the Lamb shift of 2Pstates

Higher-order binding corrections to the Lamb shift of 2Pstates

Theory of light hydrogenlike atoms

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