Lamb-shift measurement in hydrogen by the anisotropy method

Wijngaarden, A. van; Holuj, F.; Drake, G. W. F.

doi:10.1139/p98-014

Cited by 20 publications

(20 citation statements)

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“…For this analysis, the theoretical values of the Lamb shifts are sufficiently precise, except for those of the 1S and 2S levels. In hydrogen, there have been several precise determinations of the 2S 1͞2 -2P 1͞2 splitting by microwave spectroscopy [13] and by the anisotropy method [14]. Using the mean value of these results ͓L 2S-2P 1057.8454͑65͒ MHz͔, we can deduce from our 2S 1͞2 -12D 5͞2 determination a value of the Rydberg constant R` 109 737.315 684 5͑13͒ cm 21 .…”

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confidence: 83%

“…To make an average of these various determinations of R`, we have performed a least squares adjustment which takes into account the measurements of the 2S Lamb shift [13,14], the optical frequency measurements of the 1S-2S [2], 2S-8D [3], and 2S-12D transitions in hydrogen and deuterium, and also the measurements of the 1S Lamb shift made by frequency comparison of the 1S-2S and 2S-4S͞P͞D transitions [17,18] or of the 1S-3S and 2S-6S͞D ones [19]. We obtain the values R` 109 737.315 685 16͑84͒ cm 21 , L 1S 8172.837͑22͒ MHz, and L 2S-2P 1057.8446͑29͒ MHz [respectively, 8183.966(22) MHz and 1059.2337(29) MHz for deuterium].…”

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confidence: 99%

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Optical Frequency Measurement of the2S−12DTransitions in Hydrogen and Deuterium: Rydberg Constant and Lamb Shift Determinations

et al. 1999

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We have performed a pure optical frequency measurement of the 2S-12D two-photon transitions in atomic hydrogen and deuterium. From a complete analysis taking into account this result and all other precise measurements (by ourselves and other authors), we deduce optimized values for the Rydberg constant, R` 109 737.315 685 16͑84͒ cm 21 (relative uncertainty of 7.7 3 10 212 ) and for the 1S and 2S Lamb shifts L 1S 8172.837͑22͒ MHz and L 2S-2P 1057.8446͑29͒ MHz [respectively, L 1S 8183.966͑22͒ MHz, and L 2S-2P 1059.2337͑29͒ MHz for deuterium]. These are now the most accurate values available. [S0031-9007(99)09458-2] PACS numbers: 06.20.Jr, 21.10.Ft, 31.30.JvFor many years, Doppler free two-photon spectroscopy has been applied to the hydrogen atom in order to test quantum electrodynamics calculations and to improve the precision of the Rydberg constant R` [1]. Recently, the uncertainty of the measurements has been reduced to a level below 10 211 thanks to optical frequencymultiplication chains, which link the measured frequency via intermediate standard lasers to the caesium clock. With such a chain, Hänsch and co-workers have taken advantage of the small natural width of the 1S-2S twophoton transition (1.3 Hz) to measure this frequency with an uncertainty of 3.4 3 10 213 [2]. In our group, we have made absolute frequency measurements of the 2S-8S͞D transitions with an accuracy better than 8 3 10 212 [3]. In this last case, the precision was limited by the line shape analysis which becomes complicated by a large broadening (up to 1 MHz) due to the inhomogeneous light shift. The comparison of the 1S-2S and 2S-8S͞D measurements has provided very precise determinations of R`and of the Lamb shift [2,3]. Nevertheless, in order to confirm our 2S-8S͞D frequency measurements, we have built a new chain to measure the frequencies of another transition, that is the 2S-12D transition. This transition yields complementary information to our study of the 2S-nS͞nD transitions, because it is very sensitive to stray electric fields (the shift due to the quadratic Stark effect varies as n 7 ), and so such a measurement is a stringent test of Stark corrections to the Rydberg levels.In this Letter, we present these new results and make a complete analysis of the optical frequency measurements to determine the best values for R`and the Lamb shifts.Our new frequency chain uses two standard lasers, a laser diode stabilized on the 5S-5D two-photon transition of rubidium (LD͞Rb laser, l 778 nm, n 385 THz) and a CO 2 laser stabilized to an osmium tetraoxyde line (labeled CO 2 ͞OsO 4 , l ഠ 10 mm, n ഠ 29 THz). In 1996, the frequencies of three LD͞Rb lasers, one in the Laboratoire Kastler Brossel (LKB) and two in the Laboratoire Primaire du Temps et des Fréquences (LPTF), were measured with a frequency chain which connected the LD͞Rb laser to the CO 2 ͞OsO 4 standard [4]. More recently, the frequency measurement of this CO 2 ͞OsO 4 standard has been remade with respect to the Cs clock with an uncertainty of 20 Hz (i.e., a relative uncertainty of...

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Optical Frequency Measurement of the2S−12DTransitions in Hydrogen and Deuterium: Rydberg Constant and Lamb Shift Determinations

et al. 1999

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“…It was done for the 2s − 12d transition and the result is in agreement with that for 2s − 8s/d. A new measurement on the 2s 1/2 − 2p 1/2 Lamb splitting was performed at Windsor University [69]; the result is 1057 852(15) kHz. I would like to acknowledge Gordon Drake and Arie van Wijngaarden, and F. Holuj for informing me on this result prior to publication and for useful discussions.…”

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confidence: 99%

What do we actually know about the proton radius?

Karshenboim¹

1999

Can. J. Phys.

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This paper considers the different determinations of the proton charge radius. It is demonstrates that the results from the elastic electron-proton scattering have to be assigned a higher uncertainty. A review of the hydrogen Lamb-shift measurements and the radius determination from them is also presented.Résumé : Nous comparons ici différentes méthodes pour déterminer le rayon de la distribution de charge du proton. Il appert que la valeur obtenue de la diffusion élastique électron-proton est celle dont la marge d'erreur est la plus grande. Nous étudions aussi les mesures du déplacement de Lamb et la valeur du rayon qu'on peut en déduire. [Traduit par la rédaction] Can. J. Phys. Downloaded from www.nrcresearchpress.com by Entomology on 09/25/12 For personal use only. ©1999 NRC Canada Can. J. Phys. Downloaded from www.nrcresearchpress.com by Entomology on 09/25/12 For personal use only.

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“…Since the historic measurement of Lamb and Retherford [11], a number of measurements of the 2S 1/2 − 2P 1/2 splitting have been reported [38,39,40,41,42]. The recent results are shown in the figure 3.…”

Section: Lamb Shift Of the 2s 1/2 Levelmentioning

confidence: 98%

“…By using the theoretical value of the 2P 1/2 −2P 3/2 fine structure splitting [26], this determination is 1057.842(12) MHz (see figure 3). The result of Drake in 1998 (1057.852(15) MHz [41]) is also an indirect determination, obtained by measuring the anisotropy of the emitted light in an applied electric field. The experiment of Pal'chikov, Sokolov and Yakovlev was performed by using atomic interferometry to measure the ratio between the 2S 1/2 Lamb shift and the lifetime of the 2P 1/2 level.…”

Section: Lamb Shift Of the 2s 1/2 Levelmentioning

confidence: 99%