Importance of the non-resonant corrections for the modern Lamb shift measurements in the multicharged hydrogen-like ions

Labzowsky, L. N.; Karasiev, Valentin V.; Goidenko, Igor

doi:10.1088/0953-4075/27/15/001

Cited by 25 publications

(34 citation statements)

References 13 publications

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“…Nonresonant corrections have been evaluated for H-like ions of phosphorus (Z=15) and uranium (Z=92) in Refs. [2,3]. While for uranium the NR correction turned out to be negligible, its value was comparable with the experimental error bars in case of phosphorus.…”

supporting

confidence: 79%

Nonresonant corrections to the1s−2stwo-photon resonance for the hydrogen atom

et al. 2002

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The nonresonant (NR) corrections are estimated for the most accurately measured two-photon transition 1s-2s in the hydrogen atom. These corrections depend on the measurement process and set a limit for the accuracy of atomic frequency measurements. With the measurement process adopted in the modern experiments the NR contribution for 1s-2s transition energy can reach 10 −3 Hz while the experimental inaccuracy is quoted to be ± 46 Hz. PACS numbers: 31.30.Jv, 12.20.Ds, 0620Jr., 31.15.-p Nonresonant (NR) corrections have been first introduced in Ref.[1] where the modern QED theory of the natural line profile in atomic physics has been formulated. The NR corrections indicate the limit up to which the concept of the energy of an excited atomic state has a physical meaning -that is the resonance approximation. In the resonance approximation the line profile is described by the two parameters: energy E and width Γ .Beyond this approximation the specific role of E and Γ should be replaced by the complete evaluation of the line profile for the particular process. If the distortion of the Lorentz profile is small one can still consider the NR correction as an additional energy shift. Unlike all other energy corrections, this correction depends on the particular process which has been employed for the measurement of the energy difference. Quite independent of the accuracy 1 of theoretical calculations of the "traditional" energy corrections which can be much poorer than the experimental accuracy, NR corrections define the principal limit for the latter.One can state that nonresonant corrections set the limit for the accuracy of all the atomic frequency standards.Nonresonant corrections have been evaluated for H-like ions of phosphorus (Z=15) and uranium (Z=92) in Refs. [2,3]. While for uranium the NR correction turned out to be negligible, its value was comparable with the experimental error bars in case of phosphorus.Recently the NR correction has been evaluated for the Lyman-α 1s-2p transition in hydrogen [4]. In [4] the process of the resonance photon scattering was considered as a standard procedure for the determination of the energy levels. According to [1] the parametric estimate of the NR correction to the total cross-section is (in relativistic units):

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confidence: 79%

Nonresonant corrections to the1s−2stwo-photon resonance for the hydrogen atom

et al. 2002

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“…Later the line profile QED theory was modified also for two-electron atoms [31] (see also [6,32]) and applied to the theory of overlapping resonances in two-electron HCI [33,34]. Another application was devoted to the theory of nonresonant corrections [35,36].…”

Section: Line Profile Approachmentioning

confidence: 99%

Calculation of quasidegenerate energy levels of two-electron ions

et al. 2004

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Accurate QED calculations of the interelectron interaction corrections for the (1s2p)2 1 P1, (1s2p)2 3 P1 two-electron configurations for ions with nuclear charge numbers 10 ≤ Z ≤ 92 are performed within the line profile approach. Total energies of these configurations are evaluated. Employing the fully relativistic treatment based on the j-j coupling scheme these energy levels become quasi-degenerate in the region Z ≤ 40. To treat such states within the framework of QED we utilize the line profile approach. The calculations are performed within the Coulomb gauge. PACS number(s): 31.30.Jv, 31.10.+z

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“…Thus the correction is very small for light ions and atoms, but may become significant for highly charged ions. As was shown in [16], this correction could be observable in the Lamb shift measurement for the hydrogenlike phosphorus [17]. In this paper we investigate the NR correction for the process of electron capture by highly charged heavy ions.…”

Section: The Cascade Processesmentioning

confidence: 76%

Stitching Error Analysis in an Electron Beam Lithography System: Column Vibration Effect

Ohta¹,

Matsuzaka²,

Saitou³

et al. 1993

Jpn. J. Appl. Phys.

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The non-resonant (NR) QED corrections to the cascade processes following radiative electron capture by a bare uranium nucleus are considered in connection with the recent measurement of the Lamb shift using electrons from a cooler. Though the calculated values of NR correction are considerably smaller than the experimental accuracy, the analysis shows that the different cascade processes have strongly different dependence on NR corrections. This gives in principle the opportunity to optimize the measurements of the Lamb shift.

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Importance of the non-resonant corrections for the modern Lamb shift measurements in the multicharged hydrogen-like ions

Cited by 25 publications

References 13 publications

Nonresonant corrections to the1s−2stwo-photon resonance for the hydrogen atom

Nonresonant corrections to the1s−2stwo-photon resonance for the hydrogen atom

Calculation of quasidegenerate energy levels of two-electron ions

Stitching Error Analysis in an Electron Beam Lithography System: Column Vibration Effect

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