The radiative self-energy correction to the bound-electron g factor of 2P1/2 and 2P3/2 states in one-electron ions is evaluated to order α(Zα)2. The contribution of high-energy virtual photons is treated by means of an effective Dirac equation, and the result is verified by an approach based on long-wavelength quantum electrodynamics. The contribution of low-energy virtual photons is calculated both in the velocity and in the length gauge, and gauge invariance is verified explicitly. The results compare favorably to recently available numerical data for hydrogenlike systems with low nuclear charge numbers.
U. D. Jentschura, "Self-Energy Correction to the Bound-Electron g Factor of P States," Physical Review A - Atomic, Molecular, and Optical Physics, vol. 81, no. 1, pp. 012512-1-012512-7, American Physical Society (APS), Jan 2010.
The definitive version is available at https://doi.org/10.1103/PhysRevA.81.012512
Keywords and Phrases
Dirac Equations; Electron G-factor; Electron Ions; Gauge Invariance; High Energy; Long Wavelength; Low Energies; Nuclear Charge Numbers; Numerical Data; Quantum Electrodynamics; Self-energy Corrections; Virtual Photons; Electrodynamics; Gages; Linear Equations; Semiconductor Quantum Dots
International Standard Serial Number (ISSN)
Article - Journal
© 2010 American Physical Society (APS), All rights reserved.
01 Jan 2010