Precise Calculation of Transition Frequencies of Hydrogen and Deuterium Based on a Least-Squares Analysis

Jentschura, Ulrich D.; Kotochigova, Svetlana; Bigot, Éric-Olivier Le; Mohr, Peter J.; Taylor, Barry N.

doi:10.1103/physrevlett.95.163003

Cited by 45 publications

(54 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The independent methods for determining α that come closet to our accuracy are the "atom-recoil" measurements, so called because their uncertainty is limited by measurements of recoil velocities in Rb and Cs atoms. They rely on many experiments, including the measured Rydberg constant [58,59], the Rb or Cs mass in amu [60], and the electron mass in amu [61,62]. The needed h/M[Rb] comes from a measurement of the recoil of a Rb atom in an optical lattice [26,28,63].…”

Section: B Most Accurate Determination Of αmentioning

confidence: 99%

Cavity control of a single-electron quantum cyclotron: Measuring the electron magnetic moment

2011

View full text Add to dashboard Cite

Measurements with a one-electron quantum cyclotron determine the electron magnetic moment, given by g/2 = 1.001 159 652 180 73(28)[0.28ppt], and the fine structure constant, α −1 = 137.035 999 084 (51)Announcements of these measurements [Phys. Rev. Lett. 97, 030801 (2006); 100, 120801 (2008)] are supplemented here with a more complete description of the one-electron quantum cyclotron and the measurement methods, a discussion of the cavity control of the radiation field, a summary of the analysis of the measurements, and a fuller discussion of the uncertainties.

show abstract

Section: B Most Accurate Determination Of αmentioning

confidence: 99%

Cavity control of a single-electron quantum cyclotron: Measuring the electron magnetic moment

2011

View full text Add to dashboard Cite

show abstract

“…The uncertainty of 0.66 kHz is due to the mass ratios given in Eqs. (13) and (14); the uncertainty induced by the fine-structure constant is negligible because we are expressing all quantities in terms of the Rydberg constant. Set (ii).…”

Section: Evaluation Of the Correctionsmentioning

confidence: 99%

“…[13], this value of the deuteron charge radius is mostly based on a theoretical analysis of the most accurately measured transition frequencies in hydrogen and deuterium. An analysis of the world scattering data for the proton leads to a value of r p = 0.895(18) fm (Refs.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Hydrogen-deuterium isotope shift: From the1S−2S-transition frequency to the proton-deuteron charge-radius difference

et al. 2011

View full text Add to dashboard Cite

We analyze and review the theory of the hydrogen-deuterium isotope shift for the 1S-2S transition, which is one of the most accurately measured isotope shifts in any atomic system, in view of a recently improved experiment. A tabulation of all physical effects that contribute to the isotope shift is given. These include the Dirac binding energy, quantum electrodynamic effects, including recoil corrections, and the nuclear-size effect, including the pertaining relativistic and radiative corrections. From a comparison of the theoretical result f th = 670 999 566.90(66)(60) kHz (exclusive of the nonrelativistic nuclear-finite-size correction) and the experimental result f expt = 670 994 334 605(15) Hz, we infer the deuteron-proton charge-radius difference r 2 d − r 2 p = 3.820 07(65) fm 2 and the deuteron structure radius r str = 1.975 07(78) fm.

show abstract

“…Since their complexity rapidly increases with the loop-order, the calculation of just a single diagram becomes more and more challenging. Steady progress over decades has made weak-field QED the best tested scientific theory, with impressive confirmation by experiment in the case of atomic hydrogen [34], but for strong-field QED both theory and experiment remain still away from that certitude by many orders of magnitude. A calculation of an individual Feynman graph is usually carried out by series expansion with Zα as one of the expansion parameters (with α≈1/137 the fine-structure constant).…”

Section: Introductionmentioning

confidence: 99%

X-ray laser spectroscopy of highly charged ions at FLASH

Epp

López‐Urrutia

Simon

et al. 2010

J. Phys. B: At. Mol. Opt. Phys.

View full text Add to dashboard Cite

Abstract. Laser spectroscopy, widely applied in physics and chemistry, is extended into the soft x-ray region for the first time. Resonant fluorescence excitation of highly charged ions (HCI) by soft x-ray free-electron lasers shows here the potential for unprecedented precision on photonic transitions hitherto out of reach. The novel experiments combine an electron beam ion trap (EBIT) with the Free-electron LASer at Hamburg (FLASH) to measure resonant fluorescence by trapped HCI as a function of the wavelength. The present experiments reach already the performance of conventional soft and hard X-ray spectroscopy. We present the results obtained for three fundamental and theoretically challenging transitions in Li-like ions, namely 1s 2 2s 2 S 1/2 -1s 2 2p 2 P 1/2 in Fe 23+ at 48.6 eV, in Cu 27+ at 55.2 eV, and 1s 2 2s 2 S 1/2 -1s 2 2p 2 P 3/2 in Fe 23+ at 65.3 eV. The latter demonstrates laser spectroscopy of multiply or highly charged ions at more than one order of magnitude higher energies than hitherto reported. Resolving power leading to relative precision up to 6 parts-per-million points to the possibility of providing an atomic absolute wavelength standards in this spectral region, which is still lacking.

show abstract

Precise Calculation of Transition Frequencies of Hydrogen and Deuterium Based on a Least-Squares Analysis

Cited by 45 publications

References 30 publications

Cavity control of a single-electron quantum cyclotron: Measuring the electron magnetic moment

Cavity control of a single-electron quantum cyclotron: Measuring the electron magnetic moment

Hydrogen-deuterium isotope shift: From the1S−2S-transition frequency to the proton-deuteron charge-radius difference

X-ray laser spectroscopy of highly charged ions at FLASH

Contact Info

Product

Resources

About