Precision Laser Spectroscopy of the Ground State Hyperfine Splitting of Hydrogenlike<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Bi</mml:mi></mml:mrow><mml:mrow /><mml:mrow><mml:mn>8</mml:mn><mml:mn>2</mml:mn><mml:mo>+</mml:mo></mml:mrow><mml:mrow /><mml:mrow /><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>209</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>

Klaft, I.; Borneis, S.; Engel, Thomas; Fricke, B.; Grieser, R.; Huber, G.; Kühl, T.; Marx, D.; Neumann, R.; Schröder, Sönke; Seelig, P.; Völker, L.

doi:10.1103/physrevlett.73.2425

Cited by 284 publications

(213 citation statements)

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“…By assuming a uniform spherical symmetric charge distribution and using the experimental value r c 2 1/2 = 5.519(4) fm [7] for the nuclear charge distribution, δ can be calculated to be 0.0110 in the case of 209 Bi 82+ [8]. The relativistic hfs energy splitting in 209 Bi 82+ for a uniformly charged nucleus becomes than about 5.20 eV, which is 2% larger than the experimental value (1).…”

Section: Introductionmentioning

confidence: 85%

“…In bismuth case Z = 83 and factor A(αZ) = 2.125. The relativistic generalization of the Fermi formulae holds for point-like nucleus and gives a hfs for 209 Bi 82+ of about 5.84 eV, which is 15% larger than the experimental value (1).…”

Section: Introductionmentioning

confidence: 89%

“…He treated the hfs with a non-relativistic formalism in studies of alkali atoms, where he derived approximate generalizations from the hydrogenic case. In the case of 209 Bi 82+ the formulae obtained by Fermi give a value about 2.75 eV, which is 46% smaller than the experimental value (1). Relativity can be taken into account by multiplying non-relativistic value with a relativistic correction factor A(αZ) [3].…”

Section: Introductionmentioning

confidence: 99%

“…High experimental precision attained in the laser spectroscopic measurement of the ground-state hfs in hydrogen-like 209 Bi 82+ [1] stimulates considerable theoretical activity in this field (see, e.g., [11][12][13][14][15][16][17][18][19] and references therein).…”

Section: Introductionmentioning

confidence: 99%

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Nuclear magnetization distribution and hyperfine splitting in Bi82+ ion

Sen'kov

Дмитриев

2002

Nuclear Physics A

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Hyperfine splitting in Bi 82+ and Pb 81+ ions was calculated using continuum RPA approach with effective residual forces. To fix the parameters of the theory the nuclear magnetic dipole moments of two one-particle and two one-hole nuclei around 208 Pb were calculated using the same approach. The contribution from velocity dependent two-body spin-orbit residual interaction was calculated explicitly. Additionally, the octupole moment of 209 Bi and the hfs in muonic bismuth atom were calculated as well in the same approach. All the calculated observables, except the electronic hfs in 209 Bi, are in good agreement with the data. We argue for more accurate measurement of the octupole moment and the muonic hfs for 209 Bi.

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Section: Introductionmentioning

confidence: 85%

Section: Introductionmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nuclear magnetization distribution and hyperfine splitting in Bi82+ ion

Sen'kov

Дмитриев

2002

Nuclear Physics A

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“…This result is in a good agreement with the theoretical prediction [98] τ theo = 399.01(19)µs. Using formula (18) and the experimental values of the hyperfine splitting and the transition probability in 209 Bi 82+ [68,99], one finds the experimental value of the bound-electron g-factor in Bi to be 1.7343 (33). The corresponding theoretical value is 1.7310.…”

Section: Bound-electron G-factormentioning

confidence: 94%

QED Effects in Heavy Few-Electron Ions

Shabaev

Yerokhin

Zherebtsov

et al. 2001

Atomic Physics at Accelerators: Mass Spectrometry

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Accurate calculations of the binding energies, the hyperfine splitting, the bound-electron g-factor, and the parity nonconservation effects in heavy few-electron ions are considered. The calculations include the relativistic, quantum electrodynamic (QED), electron-correlation, and nuclear effects. The theoretical results are compared with available experimental data. A special attention is focused on tests of QED in a strong Coulomb field.

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Progress in quantum electrodynamics theory of highly charged ions

et al. 2013

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Recent progress in quantum electrodynamics (QED) calculations of highly charged ions is reviewed. The theoretical predictions for the binding energies, the hyperfine splittings, and the g factors are presented and compared with available experimental data. Special attention is paid to tests of bound-state QED at strong field regime. Future prospects for tests of QED at the strongest electric and magnetic fields as well as for determination of the fine structure constant and the nuclear magnetic moments with heavy ions are discussed.

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Precision Laser Spectroscopy of the Ground State Hyperfine Splitting of HydrogenlikeBi82+209

Cited by 284 publications

References 21 publications

Nuclear magnetization distribution and hyperfine splitting in Bi82+ ion

Nuclear magnetization distribution and hyperfine splitting in Bi82+ ion

QED Effects in Heavy Few-Electron Ions

Progress in quantum electrodynamics theory of highly charged ions

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