Observation of resonance line narrowing for old muonium

Boshier, M. G.; Dhawan, S.; Fei, X.; Hughes, V. W.; Janousch, M.; Jungmann, K.; Liu, W.; Pillai, C.; Prigl, R.; Putlitz, G. zu; Reinhard, I.; Schwarz, Winfried H.; Souder, P. A.; Dyck, O. Van; Wang, X.; Woodle, K.; Xu, Qihong

doi:10.1103/physreva.52.1948

Cited by 25 publications

(9 citation statements)

References 5 publications

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“…A major improvement of this experiment over the earlier work [9] is the use of a resonance line narrowing technique [10]. In the conventional approach, the signal, S, is obtained by counting positrons throughout the beamon time.…”

Section: (Received 21 August 1998)mentioning

confidence: 99%

“…Microwave frequency sweep curves are on the right. The solid curves are fits to the theoretical line shape [10,11].…”

Section: Figmentioning

confidence: 99%

“…The centers of the resonance curves were determined by fitting a theoretical resonance line shape [10,11] to the data. The theoretical signal incorporated the measured magnetic field distribution, the ideal microwave power distributions, the muon stopping distribution, the solid angle for detection of an e 1 from m 1 decay, the effects of the residual unchopped beam, and integrals over the duration of the muon pulse and volume in which muonium was formed.…”

Section: (Received 21 August 1998)mentioning

confidence: 99%

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High Precision Measurements of the Ground State Hyperfine Structure Interval of Muonium and of the Muon Magnetic Moment

et al. 1999

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Section: (Received 21 August 1998)mentioning

confidence: 99%

“…Microwave frequency sweep curves are on the right. The solid curves are fits to the theoretical line shape [10,11].…”

Section: Figmentioning

confidence: 99%

Section: (Received 21 August 1998)mentioning

confidence: 99%

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High Precision Measurements of the Ground State Hyperfine Structure Interval of Muonium and of the Muon Magnetic Moment

et al. 1999

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“…is in the process of being even more accurately measured [2], a complete treatment of these high-order terms has become an important problem for QED theory.…”

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confidence: 99%

All-Order Binding Corrections to Muonium Hyperfine Splitting

1997

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The use of exact Dirac-Coulomb propagators allows the evaluation of binding corrections to the Schwinger correction in ground state muonium hyperfine splitting to all orders. The calculational method is described and the results are used firstly to verify recent perturbative calculations of higherorder binding corrections and secondly to evaluate the residual terms of still higher order. Implications for muonium hyperfine splitting are discussed. [S0031-9007(97)03490-X] PACS numbers: 36.10. Dr, 12.20.Ds, 31.30.Gs Calculations of radiative corrections in atomic physics are frequently expressed in terms of a double expansion in the fine structure constant a and the quantity Za, where Z is the nuclear charge. This is done even when Z 1, as it serves to distinguish purely radiative effects from binding corrections, which are effects arising from the expansion of the Dirac-Coulomb propagator in terms of interactions with the nuclear Coulomb potential. In atomic physics, these binding corrections can have large coefficients, which has two consequences. One is that at high Z, these large coefficients now multiply the no longer small quantity Za, and a complete breakdown of the series may result, in the sense that the value of the series terminated at a given order can change in sign and order of magnitude when the next order is included. For highly charged ions there is no substitute for a nonperturbative evaluation to all orders in Za. The second is that even at Z 1, adequate comparison with high-accuracy experiments can require relatively high orders of perturbation theory to be considered. Given that the already quite precisely determined hyperfine splitting of the ground state of muonium [1], Dn exp 4 463 302.88͑16͒ kHz , (1) is in the process of being even more accurately measured [2], a complete treatment of these high-order terms has become an important problem for QED theory.It is convenient to define a set of functions D ͑2n͒ ͑Za͒ that parametrize radiative corrections to the ground-state hyperfine splitting. Specifically, in the nonrecoil, pointnucleus limit, radiative corrections to muonium hyperfine splitting can be written as

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“…For this purpose an essentially continuous muon beam was chopped by an electrostatic kicking device into 4 µs long pulses with 14 µs separation. Only atoms which were interacting coherently with the microwave field for periods longer than several muon lifetimes were detected [7]. The results are mainly statistics limited and improve the knowledge of both ∆ν HF S and µ µ by a factor of three [3] over previous measurements [8].…”

Section: Ground State Hyperfine Structurementioning

confidence: 73%

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Jungmann

2000

Hyperfine Interactions

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The electromagnetic interactions of electrons and muons can be described to very high accuracy within the framework of standard theory, in particular within the hydrogen-like muonium atom. Therefore precision measurements allow to test basic interactions in physics and to search for yet unknown forces. Accurate values for fundamental constants can be obtained. Results from experiments on the ground state hyperfine structure and the 1s-2s intervals in muonium are described together with their relations to a new measurement of the muon magnetic anomaly.

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Observation of resonance line narrowing for old muonium

Cited by 25 publications

References 5 publications

High Precision Measurements of the Ground State Hyperfine Structure Interval of Muonium and of the Muon Magnetic Moment

High Precision Measurements of the Ground State Hyperfine Structure Interval of Muonium and of the Muon Magnetic Moment

All-Order Binding Corrections to Muonium Hyperfine Splitting

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