A low field determination of the proton gyromagnetic ratio in water

Williams, Edwin R.; Jones, George R.; Ye, S.; Liu, R.; Sasaki, Hirokazu; Olsen, P. T.; Phillips, William D.; Layer, Howard P.

doi:10.1109/19.192278

Cited by 77 publications

(29 citation statements)

References 6 publications

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“…Currently there are three measurements of n whose precision exceeds 0.1 part in a million (0.1 ppm). They are based on the quantum Hall effect [10], the ac Josephson effect [11],and the measurement of the ratio of Planck's constant h and the neutron mass m" [12]: This is in good agreement with (14). These values are about -1.7, +2.0, and -3.6 standard deviations away from the experiment (1).…”

supporting

confidence: 63%

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New Value of theα3Electron Anomalous Magnetic Moment

Kinoshita

1995

Phys. Rev. Lett.

107

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Highly accurate numerical evaluation of the sixth-order term of the electron anomalous magnetic moment a, has detected an error in the analytic value of a fourth-order infrared-divergent integral, which is needed to obtain the best estimate of the n term as a combination of analytic values of 67 Feynman diagrams and numerical values of 5 diagrams for which no analytic results are known. Correction of this error leads to a small but significant revision of the u term. As a consequence the fine structure constant n determined from theory and experiment of a, is reduced by 55 && 10 PACS numbers: 12.20.Ds, 06.20.Jr, 12.20.Fv, 13.40.Em The anomalous magnetic moment of the electron a, is one of the simplest quantities precisely calculable from first principles. Furthermore, it has been measured very accurately [1]: a, (expt) = 1159652188. 4(4.3) X 10 ' .(1) Thus it plays a crucial role in testing the validity of QED, or, more generally, the standard model. An even more rigorous test will become feasible when the forthcoming experiments are completed [2]. To make such a test meaningful, however, it is necessary to improve the sixthorder (n ) and eighth-order (n") terms of a, . This paper reports the result of a new numerical evaluation of the n3 term. All 72 Feynman diagrams contributing to the n3 term have been evaluated numerically [3], and all but 5 are now known analytically [4 -6]. The new calculation confirms the analytic results to a much higher degree, and reduces the uncertainty in the remaining 5 diagrams by an order of magnitude. More importantly, however, improved precision of the calculation has led to the discovery of a small error in the analytic value of a fourth-order infrared-divergent (IR-divergent) integral, which is needed to obtain the best estimate of the n3 term as a "hybrid" of analytic values of 67 Feynman diagrams and numerical values of the remaining 5 diagrams. Correction of this error leads to a small (0.44%) but significant revision of the a term. This has the effect of reducing the fine structure constant n determined from theory and experiment of a, by 55 X 10The QED part of the contribution can be expressed as a, = At + A2(m, /m~) + A2(m, /m, ) At = At (n/vr) + At (a/n) (2) (4) + A, (n/~) + A, (n/~) +3 (8) representing 1, 7, 72, and 891 Feynman diagrams, respectively, have been evaluated. Previously reported values of these coefficients are [3] Ai = 05, (2) 0.328 478 965. . . , At = 1.176 11(42), AI = -1.434(138) . (4) Ai and A~are known analytically. The value of A~is (2) (4) (~) . determined by purely numerical means using the Monte Carlo integration routine vEGAs [7]. On the other hand, the value of At quoted in (4) is a "hybrid" obtained by (6) combining the analytic results for 51 diagrams and the best numerical values of 21 diagrams for which no exact values were available. (Of the latter, 16 have since been evaluated analytically [5]. ) 22 of the diagrams contributing to A~contain closed (6) electron loops of vacuum-polarization or light-light scattering type. Numerical and an...

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supporting

confidence: 63%

“…. , a6G with the corresponding numerical integration results by means of the equations (5) - (11). Column 3 lists the results obtained in this way.…”

mentioning

confidence: 99%

New Value of theα3Electron Anomalous Magnetic Moment

Kinoshita

1995

Phys. Rev. Lett.

107

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“…5) determination of -y;l by the low field method, -yL(low), in terms of the NBS representation of the ampere ANBS = VNBs/QNBs using a specially constructed 2.1-m long, single-layer, precision solenoid [9].…”

Section: ) Maintenance Of the Nbs Representation Of The Voltmentioning

confidence: 99%

NBS Determination of the Fine-Structure Constant, and of the Quantized Hall Resistance and Josephson Frequency to Voltage Quotient in Si Units

Dziuba¹,

Elmquist²,

Jones³

et al. 1988

Conference on Precision Electromagnetic Measurements

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Abstruct-Results from NBS experiments to realize the ohm and the watt, to determine the proton gyromagnetic ratio by the low field method, to determine the time dependence of the NBS representation of the ohm using the quantum Hall effect, and to maintain the NBS representation of the volt using the Josephson effect, are appropriately combined to obtain an accurate value of the fine-structure constant and of the quantized Hall resistance in SI units, and values in SI units of the Josephson frequency-to-voltage quotient, Planck constant, and elementary charge.

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“…Second, to determine the fine structure constant α, one can measure a gyromagnetic ratio of some nucleus with a value of the magnetic moment known in units of the nuclear magneton or Bohr magneton (see e.g. original results on the gyromagnetic ratio of proton [4], helion [5] and reviews [6,7] for detail). Recently magnetic moments of light nuclei (A ≤ 3) were in part revisited [8] to take into account higher-order binding effects and some new experimental data related to the nuclear magneton value.…”

mentioning

confidence: 99%

NMR spectroscopy of hydrogen deuteride and magnetic moments of deuteron and triton

Neronov¹,

Karshenboim

2003

Physics Letters A

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Magnetic moments of free and bound deuteron and triton are considered and new results for their magnetic moments (in units of that of the proton) and their g factors are presented. We report on a measurement with medium-pressure hydrogen deuteride (HD) at 10 atm, which is to be compared with the previous measurement done at 100 atm. We confirm that the high pressure used in former experiments caused no systematic effects at a level of 10 ppb. We also reexamined a theoretical uncertainty related to screening effects in HD and HT molecules and found that previously it was underestimated. The medium-pressure result obtained for the free deuteron µ d /µ p = 0.307 012 206 5(28) with a fractional uncertainty of 9.1·10 −9 is free of systematic effects related to former high-pressure experiments. The reevaluated result for triton is µ t /µ p = 1.066 639 908(10) with a fractional uncertainty of 9.3 · 10 −9 .

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A low field determination of the proton gyromagnetic ratio in water

Cited by 77 publications

References 6 publications

New Value of theα3Electron Anomalous Magnetic Moment

New Value of theα3Electron Anomalous Magnetic Moment

NBS Determination of the Fine-Structure Constant, and of the Quantized Hall Resistance and Josephson Frequency to Voltage Quotient in Si Units

NMR spectroscopy of hydrogen deuteride and magnetic moments of deuteron and triton

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