Two-loop electron self-energy with accelerated partial-wave expansion

Abstract

Calculations of the two-loop electron self-energy for the $n=1$ and $n=2$ states of hydrogen-like ions are reported, performed to all orders in the nuclear binding strength parameter $Z\alpha$ (where $Z$ is the nuclear charge number and $\alpha$ is the fine structure constant). The presented approach features an accelerated convergence of the partial-wave expansion and allows calculations to be accomplished for nuclear charges lower than previously possible and with a higher numerical accuracy.

References in corpus (20)

• Theory of Light Hydrogenlike Atoms
• Nonrelativistic QED approach to the Lamb shift
• Two-loop self-energy correction in high-Z hydrogen-like ions
• QED tests with highly-charged ions
• Two-Loop Bethe Logarithms
• Logarithmic two-loop corrections to the Lamb shift in hydrogen
• Theory of the Lamb shift in hydrogen and light hydrogen-like ions
• Non-perturbative calculation of the two-loop Lamb shift in Li-like ions
• Two-loop self-energy correction in H-like ions
• Two-loop self-energy contribution to the Lamb shift in H-like ions
• Loop-after-loop contribution to the second-order Lamb shift in hydrogenlike low-Z atoms
• The two-loop self-energy for the ground state of medium-Z hydrogen-like ions
• Two-loop self-energy in the Lamb shift of the ground and excited states of hydrogen-like ions
• One-loop self-energy correction in a strong binding field
• Precise determination of the 1s Lamb Shift in hydrogen-like lead and gold ions using microcalorimeters
• Wavelength-dispersive spectroscopy in the hard x-ray regime of a heavy highly-charged ion: The 1s Lamb shift in hydrogen-like gold
• Two-Loop Bethe Logarithms for non-S Levels
• Two-loop electron self-energy for low nuclear charges
• One-loop electron self-energy with accelerated partial-wave expansion in Coulomb gauge
• Improved bound-electron g-factor theory through complete two-loop QED calculations

Cited by in corpus (4)

• QED calculations of the $2p$-$2s$ transition energies in Li-like ions
• Model-independent determination of nuclear charge radii from Li-like ions
• QED effects in quadratic Zeeman splitting in highly charged hydrogen-like ions
• Two-loop electron self-energy in bound-electron $g$ factor: diagrams in momentum-coordinate representation