Two-loop QED corrections with closed fermion loops

Abstract

We report a calculation of all two-loop QED corrections with closed fermion loops for the n=1 and n=2 states of H-like ions and for a wide range of the nuclear charge numbers Z=1-100. The calculation is performed to all orders in the binding-strength parameter (Z α), with the exception that in a few cases the free-loop approximation is employed in the treatment of the fermion loops. Detailed comparison is made with previous (Z α)-expansion calculations and the higher-order remainder term to order α^2 (Z α)^6 is identified.

Analysis of the finite nuclear size effect is extended in the revised version. 12 pages, 5 figures, 4 tables

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Cited by in corpus (19)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• QED tests with highly-charged ions
• Relativistic recoil, electron-correlation, and QED effects on the 2p_j-2s transition energies in Li-like ions
• Theory of the Lamb shift in hydrogen and light hydrogen-like ions
• Progress in quantum electrodynamics theory of highly charged ions
• QED calculation of the ground-state energy of berylliumlike ions
• Photoionization of metastable heliumlike C4+(1s 2s 3S1) ions: Precision study of intermediate doubly excited states
• Two-loop QED corrections with closed fermion loops for the bound-electron g factor
• The two-loop self-energy for the ground state of medium-Z hydrogen-like ions
• Observation of the 2p3/2 -> 2s1/2 intra-shell transition in He-like uranium
• Two-loop self-energy in the Lamb shift of the ground and excited states of hydrogen-like ions
• Ground-state ionization energies of boronlike ions
• The Lamb shift of the $1s$ state in hydrogen: two-loop and three-loop contributions
• Ionization energies along beryllium isoelectronic sequence
• Expectation Values in Relativistic Coulomb Problems
• The two-loop self-energy: diagrams in the coordinate-momentum representation
• Virtual Delbrück scattering and the Lamb shift in light hydrogen-like atoms
• Two-loop electron self-energy for low nuclear charges
• QED approach to valence-hole excitation in closed shell systems