QED self-energy contribution to highly excited atomic states

Bigot, Éric-Olivier Le; Indelicato, P.; Mohr, Peter J.

doi:10.1103/physreva.64.052508

Cited by 46 publications

(40 citation statements)

References 34 publications

(115 reference statements)

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“…[20,21]), along with the corresponding code. Contrary to methods introduced before [17,19], it allows for precise calculations [24]. The weak dependence of F on n and Z indicates that the self energy shift ESE scales essentially as Z 4 /n 3 , as can be seen from Eq.…”

Section: Self Energy In Middle-z Ionsmentioning

confidence: 99%

Toward high-precision values of the self energy of non-S states in hydrogen and hydrogen-like ions

Bigot¹,

Indelicato²,

Mohr³

2005

Can. J. Phys.

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Abstract:The method and status of a study to provide numerical, high-precision values of the self-energy level shift in hydrogen and hydrogen-like ions is described. Graphs of the self energy in hydrogen-like ions with nuclear charge number between 20 and 110 are given for a large number of states. The self-energy is the largest contribution of Quantum Electrodynamics (QED) to the energy levels of these atomic systems. These results greatly expand the number of levels for which the self energy is known with a controlled and high precision. Applications include the adjustment of the Rydberg constant and atomic calculations that take into account QED effects. La self-énergie est la contribution la plus importante de l'électrodynamique quantique aux niveaux d'énergie de ces systèmes atomiques. Les résultats présentésétendent largement l'ensemble des niveaux atomiques dont on connaît le déplacement de self-énergie avec une précision importante et contrôlée. Les applications de ce travail incluent l'ajustement de la constante de Rydberg et les calculs atomiques qui prennent en compte les effets de l'électrodynamique quantique.

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Section: Self Energy In Middle-z Ionsmentioning

confidence: 99%

Toward high-precision values of the self energy of non-S states in hydrogen and hydrogen-like ions

Bigot¹,

Indelicato²,

Mohr³

2005

Can. J. Phys.

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“…Vacuum polarization for the 1s shell was evaluated for supercritical atoms by Neghabian [46], who found that the dive in the negative energy continuum of the 1s shell occurs at Z = 174. For shells other than 1s, accurate, all-orders calculations of selfenergy have been also performed [47][48][49][50][51], but they are limited to one-electron states for point nuclei and Z ≤ 110. Two-electron corrections (also called selfenergy screening) have been calculated in few-electron ions, mostly for ions involving n = 1 to 4 shells [52][53][54][55][56][57], including d states [58].…”

Section: Qed Correctionsmentioning

confidence: 99%

Are MCDF calculations 101% correct in the super-heavy elements range?

2011

Self Cite

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We explore QED and many-body effects in superheavy elements up to Z = 173 using the multiconfiguration Dirac-Fock method. We study the effect of going beyond the average-level approximation on the determination of the ground state of element 140, and compare with the recent work of Pekka Pyykkö on the periodic table for super heavy elements [1]. We confirm that QED corrections are of the order of 1% on ionization energies. We show that the atomic number at which the 1s shell dives into the negative energy continuum is 173, and is not affected by the approximation employed to evaluate the electron-electron interaction.

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“…Our results for F (Zα) are tabulated alongside the results of exact self-energy calculations [27,34,35]. The agreement for n = 5 is particularly good, since the parameters of the radiative potential were found by fitting to these levels.…”

Section: Radiative Potentialmentioning

confidence: 99%

“…[8] for the s and p levels, and for d levels we introduce different factors, optimized to fit 5d 3/2 and 5d 5/2 self-energy shifts in hydrogenlike ions [27,34,35],…”

Section: Radiative Potentialmentioning

confidence: 99%

Atomic many-body effects and Lamb shifts in alkali metals

Ginges

Berengut

2016

Phys. Rev. A

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We present a detailed study of the radiative potential method [V. V. Flambaum and J. S. M. Ginges, Phys. Rev. A 72, 052115 (2005)], which enables the accurate inclusion of quantum electrodynamics (QED) radiative corrections in a simple manner in atoms and ions over the range 10 Z 120, where Z is the nuclear charge. Calculations are performed for binding energy shifts to the lowest valence s, p, and d waves over the series of alkali-metal atoms Na to E119. The high accuracy of the radiative potential method is demonstrated by comparison with rigorous QED calculations in frozen atomic potentials, with deviations on the level of 1%. The many-body effects of core relaxation and second-and higher-order perturbation theory on the interaction of the valence electron with the core are calculated. The inclusion of many-body effects tends to increase the size of the shifts, with the enhancement particularly significant for d waves; for K to E119, the self-energy shifts for d waves are only an order of magnitude smaller than the s-wave shifts. It is shown that taking into account many-body effects is essential for an accurate description of the Lamb shift.

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QED self-energy contribution to highly excited atomic states

Cited by 46 publications

References 34 publications

Toward high-precision values of the self energy of non-S states in hydrogen and hydrogen-like ions

Toward high-precision values of the self energy of non-S states in hydrogen and hydrogen-like ions

Are MCDF calculations 101% correct in the super-heavy elements range?

Atomic many-body effects and Lamb shifts in alkali metals

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