Coulomb line vacuum polarization corrections to Lamb shift of order α2(Zα)5m

Eides, Michael I.; Grotch, H.; Owen, David A.

doi:10.1016/0370-2693(92)91649-t

Cited by 37 publications

(41 citation statements)

References 16 publications

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“…(67) Corrections of order α 2 (Zα) 5 have the same physical origin as corrections of order α(Zα) 5 , and the scattering approximation is sufficient for their calculation [70]. We consider now corrections of higher order in α than in the previous section and there is a larger variety of relevant graphs.…”

Section: Total Correction Of Ordermentioning

confidence: 99%

“…We consider now corrections of higher order in α than in the previous section and there is a larger variety of relevant graphs. All six gauge invariant sets of diagrams [70] 5 , corrections to the energy shifts are given by the matrix elements of the diagrams in Fig. 20 calculated between free electron spinors with all external electron lines on the mass shell, projected on the respective spin states, and multiplied by the square of the Schrödinger-Coulomb wave function at the origin [70].…”

Section: Total Correction Of Ordermentioning

confidence: 99%

“…The contribution to the Lamb shift is given by the insertion of the one-loop polarization operator squared I 2 1 (k) in the skeleton integral in eq. (66), and taking into account the multiplicity factor 3 one easily obtains [70][71][72] …”

Section: Total Correction Of Ordermentioning

confidence: 99%

“…In terms of the loop momentum integration this means that the relevant loop momenta are of the atomic scale mZα. Subtraction of the value I 2 (0) from the function I 2 (k) effectively removes the previous order contribution (the low momentum region) from the loop integral and one obtains the radiative correction of order α 2 (Zα) 5 m generated by the irreducible two-loop polarization operator [70][71][72] The next correction of order α 2 (Zα) 5 is generated by the gauge invariant set of diagrams in Fig. 20 (c).…”

Section: Insertions Of the Irreducible Two-loop Polarization In The Cmentioning

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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Section: Total Correction Of Ordermentioning

confidence: 99%

Section: Total Correction Of Ordermentioning

confidence: 99%

Section: Total Correction Of Ordermentioning

confidence: 99%

Section: Insertions Of the Irreducible Two-loop Polarization In The Cmentioning

confidence: 99%

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Theory of light hydrogenlike atoms

2001

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“…The next three corrections respectively give radiative recoil [10], additional pure recoil [23,24], and higher order radiative effects which involve double Coulomb exchange [25][26][27]. The first two terms above give -0.0025 MHz and 0.0032 MHz, respectively while the last is incomplete but gives 0.0057 MHz from the diagrams calculated to date.…”

Section: Theoretical Expression For the Lamb Shift (2s½-2p½)mentioning

confidence: 93%

Recent Advances in the Theory of the Hydrogen Lamb Shift

Grotch¹

1994

Acta Phys. Pol. A

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The theory of the 2S½-2P½ Lamb shift of hydrogen is discussed and compared to experiment. Recent corrections from radiative recoil of order a(Za)5m2/M and pure recoil of order (Za)6m2/M are reviewed. Contributions of order a2 (Za)5 m have been calculated from certain classes of diagrams. These are described while other as yet uncalculated terms are mentioned. The largest error in the theory is the uncertain measured value of the proton electromagnetic radius.

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External Field Approximation

Eides

Grotch

Shelyuto

Springer Tracts in Modern Physics

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Coulomb line vacuum polarization corrections to Lamb shift of order α2(Zα)5m

Cited by 37 publications

References 16 publications

Theory of light hydrogenlike atoms

Theory of light hydrogenlike atoms

Recent Advances in the Theory of the Hydrogen Lamb Shift

External Field Approximation

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