High precision measurements of the gJ-factors of the alkalis using the atomic beam magnetic resonance method

Böklen, K. D.; Dankwort, W.; Pitz, E.; Penselin, S.

doi:10.1016/0031-9163(66)90822-5

Cited by 12 publications

(3 citation statements)

References 2 publications

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“…It represents the most precise g factor determination of a three-electron system to date. Compared to the measurements on 6;7 Li [11] using the atomic beam magnetic resonance method and 9 Be þ [12] by laser-induced fluorescence, the experimental uncertainty is reduced by 2 orders of magnitude. Moreover, the sensitivity to relativistic effects is increased due to the higher nuclear charge Z.…”

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confidence: 87%

gFactor of Lithiumlike SiliconSi11+28

et al. 2013

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The g factor of lithiumlike silicon (28)Si(11+) has been measured in a triple-Penning trap with a relative uncertainty of 1.1×10(-9) to be g(exp)=2.000 889 889 9(21). The theoretical prediction for this value was calculated to be g(th)=2.000 889 909(51) improving the accuracy to 2.5×10(-8) due to the first rigorous evaluation of the two-photon exchange correction. The measured value is in excellent agreement with the theoretical prediction and yields the most stringent test of bound-state QED for the g factor of the 1s(2)2s state and the relativistic many-electron calculations in a magnetic field.

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confidence: 87%

gFactor of Lithiumlike SiliconSi11+28

et al. 2013

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“…The plus and minus signs refer to states F = I + 1/2 and F = I − 1/2, respectively. The constants g J = 2.0023019 (24) and g I = −0.0004476493 (45) are determined experimentally [41]. Figure 1 shows the magnetic field dependence of the hyperfine states of 6 Li for F = 1/2 and F = 3/2.…”

Section: Acknowledgementmentioning

confidence: 98%

Tunneling dynamics of two interacting one-dimensional particles

Gharashi¹,

Blume²

2015

Phys. Rev. A

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We present one-dimensional simulation results for the cold atom tunneling experiments by the Heidelberg group [G. Zürn et al., Phys. Rev. Lett. 108, 075303 (2012) and G. Zürn et al., Phys. Rev. Lett. 111, 175302 (2013)] on one or two 6 Li atoms confined by a potential that consists of an approximately harmonic optical trap plus a linear magnetic field gradient. At the non-interacting particle level, we find that the WKB (Wentzel-Kramers-Brillouin) approximation may not be used as a reliable tool to extract the trapping potential parameters from the experimentally measured tunneling data. We use our numerical calculations along with the experimental tunneling rates for the non-interacting system to reparameterize the trapping potential. The reparameterized trapping potentials serve as input for our simulations of two interacting particles. For two interacting (distinguishable) atoms on the upper branch, we reproduce the experimentally measured tunneling rates, which vary over several orders of magnitude, fairly well. For infinitely strong interaction strength, we compare the time dynamics with that of two identical fermions and discuss the implications of fermionization on the dynamics. For two attractively-interacting atoms on the molecular branch, we find that single-particle tunneling dominates for weakly-attractive interactions while pair tunneling dominates for strongly-attractive interactions. Our first set of calculations yields qualitative but not quantitative agreement with the experimentally measured tunneling rates. We obtain quantitative agreement with the experimentally measured tunneling rates if we allow for a weakened radial confinement.

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“…It represents the most precise g factor determination of a three-electron system to date. Compared to the measurements on 6,7 Li [11] using the atomic beam magnetic resonance method and 9 Be + [12] by laserinduced fluorescence, the experimental uncertainty is reduced by two orders of magnitude. Moreover, the sensitivity to relativistic effects is increased due to the higher nuclear charge Z.…”

Section: Fig 1: (Color Online)mentioning

confidence: 87%

g factor of lithiumlike silicon 28Si11+

Wagner,

Sturm,

Köhler

et al. 2014

Preprint

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The g factor of lithiumlike 28 Si 11+ has been measured in a triple-Penning trap with a relative uncertainty of 1.1•10 −9 to be gexp = 2.000 889 889 9(21). The theoretical prediction for this value was calculated to be g th = 2.000 889 909(51) improving the accuracy to 2.5 • 10 −8 due to the first rigorous evaluation of the two-photon exchange correction. The measured value is in excellent agreement with the state-of-the-art theoretical prediction and yields the most stringent test of bound-state QED for the g factor of the 1s 2 2s state and the relativistic many-electron calculations in a magnetic field.

show abstract

High precision measurements of the gJ-factors of the alkalis using the atomic beam magnetic resonance method

Cited by 12 publications

References 2 publications

gFactor of Lithiumlike SiliconSi11+28

gFactor of Lithiumlike SiliconSi11+28

Tunneling dynamics of two interacting one-dimensional particles

g factor of lithiumlike silicon 28Si11+

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