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Staude, U.; Bosselmann, Ph.; Büttner, Reinhard; Hörn, D.; Schartner, K.‐H.; Folkmann, F.; Livingston, A. E.; Ludziejewski, T.; Mokler, P. H.

doi:10.1103/physreva.58.3516

Cited by 30 publications

(13 citation statements)

References 42 publications

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“…[43]. If the unperturbed wave function is given by equation (2.120), the contribution of the SE screening diagrams is written as 156) where ∆ = ε P a − ε a . The corresponding contribution of the VP screening diagrams is [40,44] …”

Section: Self-energy and Vacuum-polarization Screening Diagramsmentioning

confidence: 99%

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Two-time Green's function method in quantum electrodynamics of high-Z few-electron atoms

2002

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The two-time Green function method in quantum electrodynamics of high-Z few-electron atoms is described in detail. This method provides a simple procedure for deriving formulas for the energy shift of a single level and for the energies and wave functions of degenerate and quasi-degenerate states. It also allows one to derive formulas for the transition and scattering amplitudes. Application of the method to resonance scattering processes yields a systematic theory for the spectral line shape. The practical ability of the method is demonstrated by deriving formulas for the QED and interelectronic-interaction corrections to energy levels and transition and scattering amplitudes in one-, two-, and three-electron atoms. Numerical calculations of the Lamb shift, the hyperfine splitting, the bound-electron g factor, and the radiative recombination cross section in heavy ions are also reviewed. PACS number(s): 12.20.Ds, 31.30. Jv

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Section: Self-energy and Vacuum-polarization Screening Diagramsmentioning

confidence: 99%

“…To date, the highest experimental accuracy was reached in Lamb-shift experiments of lithiumlike ions [154][155][156][157]. In these ions, in addition to the one-and two-electron contributions, the three-electron corrections have to be calculated.…”

Section: Lithiumlike Ionsmentioning

confidence: 99%

Two-time Green's function method in quantum electrodynamics of high-Z few-electron atoms

2002

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“…Table 1 shows the details of this interpolation. Experimental values of the energies of the 2p 1/2 levels were taken from previous publications [53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69].…”

Section: Introductionmentioning

confidence: 99%

Recent progress in spectroscopy of tungsten¹This review is part of a Special Issue on the 10th International Colloquium on Atomic Spectra and Oscillator Strengths for Astrophysical and Laboratory Plasmas.

Kramida

2011

Can. J. Phys.

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This contribution reviews experimental and theoretical work on spectroscopy of tungsten published since the last critical compilation of the energy levels and spectral lines of highly ionized tungsten (Kramida and Shirai. At. Data Nucl. Data Tables, 95, 305 (2009)). Since then, 18 new experimental studies were published, which resulted in new identifications and (or) significantly improved wavelengths of spectral lines and energy levels of Li-like through As-like and Pm-like tungsten. A few tens of theoretical studies of tungsten spectra were published since 2008. A number of them report on high-precision calculations of energy levels, transition wavelengths, and radiative rates for tungsten spectra, such as neutral tungsten, Yb-like, Rh-like through Rb-like, Ag-like, Ga-like, Zn-like, Ni-like, Ca-like, Al-like, Mg-like, Na-like, Ne-like, B-like, Be-like, and Li-like. These developments are reviewed. Based on new experimental data, systematic errors are removed from some of the earlier measurements. Some new data are obtained by analyzing publications of other authors. Based on new published theoretical data, some old experimental results were confirmed and assessed. Revised and extended tables of energy levels and spectral lines of highly ionized tungsten are presented. PACS Nos: 32.10.Fn, 32.30.-r, 32.30.Jc, 32.30.Rj Résumé : Nous passons ici en revue les travaux expérimentaux et théoriques sur la spectroscopie du tungstène, qui ont été publiés depuis la dernière compilation systématique des niveaux d'énergie et des raies spectrales du tungstène hautement ionisé (Kamida et Shirai. At. Data Nucl. Data Tables, 95, 305 (2009)). Depuis, 18 nouvelles études expérimentales ont été publiées, qui ont résulté en de nouvelles identifications et une amélioration significative des longueurs d'onde des raies et de l'énergie des niveaux des ions de tungstène allant du type Li jusqu'aux types As et Pm. Quelques dizaines études théoriques sur le tungstène ont été publiées depuis 2008. Certaines d'entre elles rapportent des calculs de haute précision de niveaux d'énergie, de longueurs d'onde de transitions et de taux radiatifs pour des spectres de tungstène, neutre et ionisé de types Yb, de Rh à Rb, Ag, Ga, Zn, Ni, Ca, Al, Mg, Na, Ne, B, Be et Li. Nous les passons en revue. Les mesures récentes ont permis d'éliminer certaines erreurs systématiques des mesures antérieures. Certains nouveaux résultats viennent de l'analyse de publications d'autres auteurs. Les nouveaux résultats théoriques ont permis de confirmer des résultats expérimentaux antérieurs dont l'identification restait incertaine. Nous présentons des tables nouvelles et étendues des niveaux d'énergie et des raies spectrales du tungstène hautement ionisé. [Traduit par la Rédaction]

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“…Therefore, in future we have to link our data to more fundamental transitions in light H-like and He-like highly charged ions as Be, B, C, N, O, 2 S 1/2 -1s 2 2p 2 P 1/2 transition for various elements with different nuclear charge Z. Shown from the top down: absolute energy, main QED contributions to the transition, main sources of uncertainty to the theoretical error budget, total theoretical uncertainty for some Z [45,76], and finally total uncertainty of this work (statistical error) as well as of other reported experiments [77,49,78,79,28,62,[80][81][82][83][84][85][86]10,13]. The spectral tunability of FLASH indicated on top allows for systematic measurements across the periodic table.…”

Section: Discussionmentioning

confidence: 79%

X-ray laser spectroscopy of highly charged ions at FLASH

Epp

López‐Urrutia

Simon

et al. 2010

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

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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.

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Measurements of2s2S1/2–2p

Cited by 30 publications

References 42 publications

Two-time Green's function method in quantum electrodynamics of high-Z few-electron atoms

Two-time Green's function method in quantum electrodynamics of high-Z few-electron atoms

Recent progress in spectroscopy of tungsten¹This review is part of a Special Issue on the 10th International Colloquium on Atomic Spectra and Oscillator Strengths for Astrophysical and Laboratory Plasmas.

X-ray laser spectroscopy of highly charged ions at FLASH

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Measurements of2s2S1/2–2p

Cited by 30 publications

References 42 publications

Two-time Green's function method in quantum electrodynamics of high-Z few-electron atoms

Two-time Green's function method in quantum electrodynamics of high-Z few-electron atoms

Recent progress in spectroscopy of tungsten1This review is part of a Special Issue on the 10th International Colloquium on Atomic Spectra and Oscillator Strengths for Astrophysical and Laboratory Plasmas.

X-ray laser spectroscopy of highly charged ions at FLASH

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Recent progress in spectroscopy of tungsten¹This review is part of a Special Issue on the 10th International Colloquium on Atomic Spectra and Oscillator Strengths for Astrophysical and Laboratory Plasmas.