56 research outputs found

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

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

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

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

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 $s$ and $p_{1/2}$ States

Relativistic formulas for the electric quadrupole moment of a hydrogenlike
atom, induced by the hyperfine interaction, are derived for $ns_{1/2}$ and
$np_{1/2}$ 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

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 $Z$ lithium like atoms in all orders in $\alpha Z$

The relativistic nuclear recoil corrections to the energy levels of
low-laying states of hydrogen-like and high $Z$ lithium-like atoms in all
orders in $\alpha Z$ are calculated. The calculations are carried out using the
B-spline method for the Dirac equation.
For low $Z$ the results of the calculation are in good agreement with the
$\alpha Z$ -expansion results. It is found that the nuclear recoil
contribution, additional to the Salpeter's one, to the Lamb shift ($n=2$) of
hydrogen is $-1.32(6)\,kHz$. The total nuclear recoil correction to the energy
of the $(1s)^{2}2p_{\frac{1}{2}}-(1s)^{2}2s$ transition in lithium-like uranium
constitutes $-0.07\,eV$ 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 $(1s)^2 2p_{3/2}$ electron configuration in Li-like ions

We present ab initio calculations of the complete gauge-invariant set of
two-photon exchange graphs for the $(1s)^2 2p_{3/2}$ electron configuration in
Li-like ions. These calculations are an important step towards the precise
theoretical determination of the $2p_{3/2}$-$2s$ 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

The hyperfine splitting in hydrogenlike $^{209}$Bi, $^{203}$Tl, and
$^{205}$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

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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