The <i>g</i> factor in a light two-body atomic system: a determination of fundamental  constants to test QED

Karshenboim, Savely G.; Иванов, В. П.

doi:10.1139/p02-104

Cited by 31 publications

(62 citation statements)

References 40 publications

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“…(34) coincides with the corresponding correction to the g factor of a bound proton in a hydrogen atom ͑I =1/2͒ obtained in [19]. The calculation of R 2 can be done similarly.…”

Section: ͑33͒supporting

confidence: 78%

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gfactor of hydrogenlike ions with nonzero nuclear spin

et al. 2004

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The fully relativistic theory of the g factor of hydrogenlike ions with nonzero nuclear spin is considered. The hyperfine-interaction correction to the atomic g factor is calculated for both point and extended chargedistribution models for nuclei. Both the magnetic dipole and the electric quadrupole interactions are taken into account. This correction is combined with corrections resulting from QED, nuclear recoil, and nuclear size, to obtain theoretical high-precision values for the g factor of hydrogenlike ions with nonzero nuclear spin. The results can be used for a precise determination of nuclear magnetic moments from g factor experiments.

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“…(34) coincides with the corresponding correction to the g factor of a bound proton in a hydrogen atom ͑I =1/2͒ obtained in [19]. The calculation of R 2 can be done similarly.…”

Section: ͑33͒supporting

confidence: 78%

“…This stimulated considerably theoretical investigations of this effect [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Besides a new possibility for tests of the magnetic sector of quantum electrodynamics (QED), these investigations have already provided a new determination of the electron mass (see [3] and references therein).…”

Section: Introductionmentioning

confidence: 99%

gfactor of hydrogenlike ions with nonzero nuclear spin

et al. 2004

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“…The result of the evaluation in [218] is somewhat shifted from the CODATA value [21] due to recently obtained higher-order corrections [221,222,207] and improvement in determination of the electronto-proton mass ratio discussed below (see Sect. 11).…”

Section: Hydrogen and Deuterium: Determination Of The Proton And Deutmentioning

confidence: 97%

“…corrections [207] including the terms of the order α 4 , α 3 m/M and α 2 (m/M) 2 and thus the relative uncertainty is substantially better than a part in 10 8 . All these corrections are of kinematic origin and there is no need for a higher accuracy and thus for any higher order corrections for a moment.…”

Section: General Considerationmentioning

confidence: 99%

“…The results of the one-loop self-energy are achieved in different ways for different atoms. For lighter elements (helium, beryllium) it is based on fitting [207] data of [231], while for heavier ions we use the results of [232]. The other results are taken from [230] (for the one-loop vacuum polarization; see also [233]), [203] (for the nuclear correction and the electric part of the light-bylight scattering (Wichmann-Kroll) contribution; see also [233]), [234] (for the magnetic part of the light-by-light scattering contribution) and [235] (for the recoil effects).…”

Section: 4mentioning

confidence: 99%

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Precision physics of simple atoms: QED tests, nuclear structure and fundamental constants

2005

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Quantum electrodynamics is the first successful and still the most successful quantum field theory. Simple atoms, being essentially QED systems, allow highly accurate theoretical predictions. Because of their simple spectra, such atoms have been also efficiently studied experimentally frequently offering the most precisely measured quantities. Our review is devoted to comparison of theory and experiment in the field of precision physics of light simple atoms. In particular, we consider the Lamb shift in the hydrogen atom, the hyperfine structure in hydrogen, deuterium, helium-3 ion, muonium and positronium, as well as a number of other transitions in positronium. Additionally to a spectrum of unperturbed atoms, we consider annihilation decay of positronium and the g factor of bound particles in various two-body atoms. Special attention is paid to the uncertainty of the QED calculations due to the uncalculated higher-order corrections and effects of the nuclear structure. We also discuss applications of simple atoms to determination of several fundamental constants.

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CPT symmetry tests with cold and antihydrogen

Yamazaki

Ulmer

2013

Annalen der Physik

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Precision comparisons of the properties of particles and their corresponding antiparticles are highly relevant because the Standard Model of elementary particle physics, a local, Lorentz-invariant field theory, is necessarily symmetric with respect to the combined CPT operation. This symmetry defines exact equality between the fundamental properties of particles and their anti-images. Any measured and confirmed violation constitutes a significant challenge to the Standard Model. Recent results of different CPT-tests are summarized, with emphasis to the high-precision measurement of the magnetic moment of the proton and the antiproton, as well as the precision investigation of antihydrogen ground state hyperfine splitting.

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The g factor in a light two-body atomic system: a determination of fundamental constants to test QED

Cited by 31 publications

References 40 publications

gfactor of hydrogenlike ions with nonzero nuclear spin

gfactor of hydrogenlike ions with nonzero nuclear spin

Precision physics of simple atoms: QED tests, nuclear structure and fundamental constants

CPT symmetry tests with cold and antihydrogen

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