One-loop self-energy correction in a strong binding field

Abstract

A new scheme for the numerical evaluation of the one-loop self-energy correction to all orders in Z αis presented. The scheme proposed inherits the attractive features of the standard potential-expansion method but yields a partial-wave expansion that converges more rapidly than in the other methods reported in the literature.

8 pages, 4 tables

References in corpus (4)

• Two-loop self-energy correction in high-Z hydrogen-like ions
• Two-loop self-energy contribution to the Lamb shift in H-like ions
• Electron Self Energy for Higher Excited S Levels
• Vacuum polarization calculations for hydrogenlike and alkalilike ions

Cited by in corpus (17)

• Model operator approach to the Lamb shift calculations in relativistic many-electron atoms
• Progress in quantum electrodynamics theory of highly charged ions
• Nuclear size correction to the Lamb shift of one-electron atoms
• Two-loop QED corrections with closed fermion loops
• Relativistic configuration-interaction calculations of energy levels of the $1s^{2}2l$ and $1s2l2l^{\prime }$ states in lithium-like ions: carbon through chlorine
• QED calculations of energy levels of helium-like ions with $5\le Z\le 30$
• QED calculation of the nuclear magnetic shielding for hydrogen-like ions
• Two-loop self-energy in the Lamb shift of the ground and excited states of hydrogen-like ions
• Improved all-order results for the one-loop QED correction to the hyperfine structure in light H-like atoms
• Calculations of QED effects with the Dirac Green function
• Self-energy screening effects in the $g$ factor of Li-like ions
• Two-loop electron self-energy with accelerated partial-wave expansion
• 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
• QED calculations of the $2p$-$2s$ transition energies in 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