Ionization energies along beryllium isoelectronic sequence

Malyshev, A. V.; Volotka, A. V.; Glazov, D. A.; Tupitsyn, I. I.; Shabaev, V. M.; Plunien, G.

doi:10.1103/physreva.92.012514

Cited by 30 publications

(26 citation statements)

References 97 publications

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“…The calculations have been performed by perturbation theory including the second-order screening effects in accordance with the technique presented in Refs. [18,19].…”

Section: Finite Nuclear Size Effectmentioning

confidence: 99%

Isotope shifts of the2p3/2−2p1/2transition in B-like ions

et al. 2016

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Isotope shifts of the 2p 3/2 -2p 1/2 transition in B-like ions are evaluated for a wide range of the nuclear charge number: Z = 8 − 92. The calculations of the relativistic nuclear recoil and nuclear size effects are performed using a large scale configuration-interaction Dirac-Fock-Sturm method.The corresponding QED corrections are also taken into account. The results of the calculations are compared with the theoretical values obtained with other methods. The accuracy of the isotope shifts of the 2p 3/2 − 2p 1/2 transition in B-like ions is significantly improved.

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“…The calculations have been performed by perturbation theory including the second-order screening effects in accordance with the technique presented in Refs. [18,19].…”

Section: Finite Nuclear Size Effectmentioning

confidence: 99%

Isotope shifts of the2p3/2−2p1/2transition in B-like ions

et al. 2016

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“…All these screening potentials have been utilized quite frequently in recent QED calculations and need not to be described here in detail. In [50,51], for example, (5), green solid circles) as well as for Laughlin's scaling (4) but with a proper splitting 3 P 0 and 3 P 1 (black triangles). See text for further discussion.…”

Section: Resultsmentioning

confidence: 99%

Relativistically prolonged lifetime of the 2s2p³P₀level of zero nuclear-spin beryllium-like ions

2015

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The E1M1 transition rate of the s p P s S 2 2 2 3 0 2 1 0  line in beryllium-like ions has been calculated within the framework of relativistic second-order perturbation theory. Both multiconfiguration and quantum-electrodynamical computations have been carried out independently to better understand and test for all major electron-electron correlation contributions in the representation of the initial, intermediate and final states. By comparing the results from these methods, which agree well for all ions along the beryllium isoelectronic sequence, the lifetime of the metastable 2s2p 3 P 0 level is found to be longer by about 2-3 orders of magnitude for all medium and heavy elements than was estimated previously. This makes the 3 P 0 level of beryllium-like ions to one of the longest living (low-lying) electronic excitations of a tightly bound system with potential applications for atomic clocks and in astro physics and plasma physics.

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“…The question arises: can we perform ab initio QED calculations for many-electron systems? The second-order contributions in α are evaluated only within the state-of-the-art QED calculations for helium-like [21][22][23][24][25][26], lithium-like [27][28][29][30], beryllium-like [31][32][33], boron-like [34][35][36], and sodium-like [37] ions. The computations are so far limited to such selected, relatively simple systems not only due to the complexity of numerical calculations but also because of difficulties in deriving formal expressions.…”

Section: Introductionmentioning

confidence: 99%

Many-Electron QED with Redefined Vacuum Approach

et al. 2021

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The redefined vacuum approach, which is frequently employed in the many-body perturbation theory, proved to be a powerful tool for formula derivation. Here, we elaborate this approach within the bound-state QED perturbation theory. In addition to general formulation, we consider the particular example of a single particle (electron or vacancy) excitation with respect to the redefined vacuum. Starting with simple one-electron QED diagrams, we deduce first- and second-order many-electron contributions: screened self-energy, screened vacuum polarization, one-photon exchange, and two-photon exchange. The redefined vacuum approach provides a straightforward and streamlined derivation and facilitates its application to any electronic configuration. Moreover, based on the gauge invariance of the one-electron diagrams, we can identify various gauge-invariant subsets within derived many-electron QED contributions.

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Ionization energies along beryllium isoelectronic sequence

Cited by 30 publications

References 97 publications

Isotope shifts of the2p3/2−2p1/2transition in B-like ions

Isotope shifts of the2p3/2−2p1/2transition in B-like ions

Relativistically prolonged lifetime of the 2s2p³P₀level of zero nuclear-spin beryllium-like ions

Many-Electron QED with Redefined Vacuum Approach

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Ionization energies along beryllium isoelectronic sequence

Cited by 30 publications

References 97 publications

Isotope shifts of the2p3/2−2p1/2transition in B-like ions

Isotope shifts of the2p3/2−2p1/2transition in B-like ions

Relativistically prolonged lifetime of the 2s2p3P0level of zero nuclear-spin beryllium-like ions

Many-Electron QED with Redefined Vacuum Approach

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Product

Resources

About

Relativistically prolonged lifetime of the 2s2p³P₀level of zero nuclear-spin beryllium-like ions