56 research outputs found

    Interelectronic-interaction effect on the transition probability in high-Z He-like ions

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    The interelectronic-interaction effect on the transition probabilities in high-Z He-like ions is investigated within a systematic quantum electrodynamic approach. The calculation formulas for the interelectronic-interaction corrections of first order in 1/Z are derived using the two-time Green function method. These formulas are employed for numerical evaluations of the magnetic transition probabilities in heliumlike ions. The results of the calculations are compared with experimental values and previous calculations

    Relativistic calculations of isotope shifts in highly charged ions

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    The isotope shifts of forbidden transitions in Be- and B-like argon ions are calculated. It is shown that only using the relativistic recoil operator can provide a proper evaluation of the mass isotope shift, which strongly dominates over the field isotope shift for the ions under consideration. Comparing the isotope shifts calculated with the current experimental uncertainties indicates very good perspectives for a first test of the relativistic theory of the recoil effect in middle-Z ions

    QED theory of the nuclear recoil effect on the atomic g factor

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    The quantum electrodynamic theory of the nuclear recoil effect on the atomic g factor to all orders in \alpha Z and to first order in m/M is formulated. The complete \alpha Z-dependence formula for the recoil correction to the bound-electron g factor in a hydrogenlike atom is derived. This formula is used to calculate the recoil correction to the bound-electron g factor in the order (\alpha Z)^2 m/M for an arbitrary state of a hydrogenlike atom.Comment: 17 page

    Finite nuclear size correction to the bound-electron g factor in a hydrogenlike atom

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    The finite nuclear size correction to the bound-electron g factor in hydrogenlike atoms is investigated in the range Z=1-20. An analytical formula for this correction which includes the non-relativistic and dominant relativistic contributions is derived. In the case of the 1s state, the results obtained by this formula are compared with previous non-relativistic analytical and relativistic numerical calculations.Comment: 5 page

    Electric Quadrupole Moment of a Hydrogenlike Ion in ss and p1/2p_{1/2} States

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    Relativistic formulas for the electric quadrupole moment of a hydrogenlike atom, induced by the hyperfine interaction, are derived for ns1/2ns_{1/2} and np1/2np_{1/2} states. Both the magnetic dipole and electric quadrupole hyperfine interactions are taken into account. The formulas are valid for ions with arbitrary nuclear charge and spin. The induced quadrupole moment is compared with the nuclear quadrupole moment for a wide range of hydrogenlike ions.Comment: The values for the total quadrupole moment have been corrected for states with F=I-1/2. 8 pages, 2 table

    Recoil correction to the ground state energy of hydrogenlike atoms

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    The recoil correction to the ground state energy of hydrogenlike atoms is calculated to all orders in \alpha Z in the range Z = 1-110. The nuclear size corrections to the recoil effect are partially taken into account. In the case of hydrogen, the relativistic recoil correction beyond the Salpeter contribution and the nonrelativistic nuclear size correction to the recoil effect, amounts to -7.2(2) kHz. The total recoil correction to the ground state energy in hydrogenlike uranium (^{238}U^{91+}) constitutes 0.46 eV.Comment: 16 pages, 1 figure (eps), Latex, submitted to Phys.Rev.

    Relativistic nuclear recoil corrections to the energy levels of hydrogen-like and high ZZ lithium like atoms in all orders in αZ\alpha Z

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    The relativistic nuclear recoil corrections to the energy levels of low-laying states of hydrogen-like and high ZZ lithium-like atoms in all orders in αZ\alpha Z are calculated. The calculations are carried out using the B-spline method for the Dirac equation. For low ZZ the results of the calculation are in good agreement with the αZ\alpha Z -expansion results. It is found that the nuclear recoil contribution, additional to the Salpeter's one, to the Lamb shift (n=2n=2) of hydrogen is −1.32(6) kHz-1.32(6)\,kHz. The total nuclear recoil correction to the energy of the (1s)22p12−(1s)22s(1s)^{2}2p_{\frac{1}{2}}-(1s)^{2}2s transition in lithium-like uranium constitutes −0.07 eV-0.07\,eV and is largely made up of QED contributions.Comment: 19 pages, latex, accepted for publication in Phys. Rev.

    Evaluation of the two-photon exchange diagrams for the (1s)22p3/2(1s)^2 2p_{3/2} electron configuration in Li-like ions

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    We present ab initio calculations of the complete gauge-invariant set of two-photon exchange graphs for the (1s)22p3/2(1s)^2 2p_{3/2} electron configuration in Li-like ions. These calculations are an important step towards the precise theoretical determination of the 2p3/22p_{3/2}-2s2s transition energy in the framework of QED.Comment: 17 pages, 6 figure

    Hyperfine splitting in heavy ions with the nuclear magnetization distribution determined from experiments on muonic atoms

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    The hyperfine splitting in hydrogenlike 209^{209}Bi, 203^{203}Tl, and 205^{205}Tl is calculated with the nuclear magnetization determined from experimental data on the hyperfine splitting in the corresponding muonic atoms. The single-particle and configuration-mixing nuclear models are considered. The QED corrections are taken into account for both electronic and muonic atoms. The obtained results are compared with other calculations and with experiment.Comment: 8 pages, 5 tables, accepted for publication in Nuclear Instruments and Methods in Physics Research

    Radiative and interelectronic-interaction corrections to the hyperfine splitting in highly charged B-like ions

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    The ground-state hyperfine splitting values of high-Z boronlike ions are calculated. Calculation of the interelectronic-interaction contribution is based on a combination of the 1/Z perturbation theory and the large-scale configuration-interaction Dirac-Fock-Sturm method. The screened QED corrections are evaluated utilizing an effective screening potential approach. Total hyperfine splitting energies are presented for several B-like ions of particular interest: {}^{45}Sc{}^{16+}, {}^{57}Fe{}^{21+}, {}^{207}Pb{}^{77+}, and {}^{209}Bi{}^{78+}. For lead and bismuth the experimental values of the 1s hyperfine splitting are employed to improve significantly the theoretical results by reducing the uncertainty due to the nuclear effects.Comment: 12 pages, 2 figures, 3 table
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