282 research outputs found
Two-loop self-energy contribution to the Lamb shift in H-like ions
The two-loop self-energy correction is evaluated to all orders in Z\alpha for
the ground-state Lamb shift of H-like ions with Z >= 10, where Z is the nuclear
charge number and \alpha is the fine structure constant. The results obtained
are compared with the analytical values for the Z\alpha-expansion coefficients.
An extrapolation of the all-order numerical results to Z=1 is presented and
implications of our calculation for the hydrogen Lamb shift are discussed
Core-valence correlations for atoms with open shells
We present an efficient method of inclusion of the core-valence correlations
into the configuration interaction (CI) calculations. These correlations take
place in the core area where the potential of external electrons is
approximately constant. A constant potential does not change the core electron
wave functions and Green's functions. Therefore, all operators describing
interaction of valence electrons and core electrons (the core part of
the Hartree-Fock Hamiltonian
, the correlation potential and
the screening of interaction between valence electrons by the core electrons
) may be calculated with all
valence electrons removed. This allows one to avoid subtraction diagrams
which make accurate inclusion of the core-valence correlations for
prohibitively complicated. Then the CI Hamiltonian for valence electrons is
calculated using orbitals in complete potential (the mean field
produced by all electrons); + are added to the CI
Hamiltonian to account for the core-valence correlations. We calculate
and using many-body perturbation theory in which
dominating classes of diagrams are included in all orders.
We use neutral Xe I and all positive ions up to Xe VIII as a testing ground.
We found that the core electron density for all these systems is practically
the same. Therefore, we use the same and to build
the CI Hamiltonian in all these systems (). Good agreement
with experiment for energy levels and Land\'{e} factors is demonstrated for all
cases from Xe I to Xe VIII.Comment: 13 pages, 5 figure
Coordinate-space approach to the bound-electron self-energy: Self-Energy screening calculation
The self-energy screening correction is evaluated in a model in which the
effect of the screening electron is represented as a first-order perturbation
of the self energy by an effective potential. The effective potential is the
Coulomb potential of the spherically averaged charge density of the screening
electron. We evaluate the energy shift due to a , ,
, or electron screening a , ,
, or electron, for nuclear charge Z in the range . A detailed comparison with other calculations is made.Comment: 54 pages, 10 figures, 4 table
Relativistic transition wavelenghts and probabilities for spectral lines of Ne II
Transition wavelengths and probabilities for several 2p4 3p - 2p4 3s and 2p4
3d - 2p4 3p lines in fuorine-like neon ion (NeII) have been calculated within
the multiconfiguration Dirac-Fock (MCDF) method with quantum electrodynamics
(QED) corrections. The results are compared with all existing experimental and
theoretical data
Non-perturbative calculation of the two-loop Lamb shift in Li-like ions
A calculation valid to all orders in the nuclear-strength parameter is
presented for the two-loop Lamb shift, notably for the two-loop self-energy
correction, to the 2p-2s transition energies in heavy Li-like ions. The
calculation removes the largest theoretical uncertainty for these transitions
and yields the first experimental identification of two-loop QED effects in the
region of the strong binding field
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
Two-loop QED corrections in few-electron ions
Results of a calculation valid to all orders in the nuclear-strength parameter Z\alpha are presented for the two-loop Lamb shift, notably for the two-loop self-energy correction, for the ground and first excited states of ions with the nuclear charge numbers Z=60-100. A detailed comparison of the all-order calculation with earlier investigations based on an expansion in the parameter Z\alpha is given. The calculation removes the largest theoretical uncertainty for the 2p_j-2s transition energies in heavy Li-like ions and is important for interpretation of experimental data
QED self-energy contribution to highly-excited atomic states
We present numerical values for the self-energy shifts predicted by QED
(Quantum Electrodynamics) for hydrogenlike ions (nuclear charge ) with an electron in an , 4 or 5 level with high angular momentum
(). Applications include predictions of precision transition
energies and studies of the outer-shell structure of atoms and ions.Comment: 20 pages, 5 figure
Two-loop self-energy correction in high-Z hydrogen-like ions
A complete evaluation of the two-loop self-energy diagrams to all orders in
Z\alpha is presented for the ground state of H-like ions with Z\ge 40.Comment: RevTeX, 5 figures, 1 tabl
Evaluation of the self-energy correction to the g-factor of S states in H-like ions
A detailed description of the numerical procedure is presented for the
evaluation of the one-loop self-energy correction to the -factor of an
electron in the and states in H-like ions to all orders in .Comment: Final version, December 30, 200
- âŠ