Self-Energy Correction to the Bound-Electron g Factor of P States

TL;DR

This paper calculates the self-energy correction to the bound-electron g factor for P states in hydrogenlike ions, combining effective Dirac equation methods with quantum electrodynamics, and verifies gauge invariance and compares with numerical data.

Contribution

It provides an analytical evaluation of the self-energy correction to the g factor for P states, including high- and low-energy photon contributions, with verification of gauge invariance.

Findings

Results agree with numerical data for low Z ions.

Analytical approach confirms gauge invariance.

Method combines effective Dirac and quantum electrodynamics.

Abstract

The radiative self-energy correction to the bound-electron g factor of 2P_1/2 and 2P_3/2 states in one-electron ions is evaluated to order alpha (Z alpha)^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.