gjfactor of an electron bound in a hydrogenlike ion

Abstract

We present a detailed theoretical evaluation for the g j factor of a bound electron in hydrogenlike ions up to Zϭ94. All quantum electrodynamical corrections of order (␣/) are evaluated in detail and various other contributions to the g j factor are computed and listed for 61 Z. A comparison with all existing experiments is carried out and excellent agreement is found. The present uncertainty in our calculations is discussed. It is not possible to improve this precision with only minor effort since two-photon bound-state QED terms are uncalculated up to now.

One-loop binding corrections to the electron g factor

“…What is approximately known, however, is the sum of b 50 and higherorders terms for individual nuclear charges from all-order numerical calculations [4][5][6][7]. The subject of this work is the oneloop electron self-energy correction of the order of α (Z α) 5 , namely the coefficient b 50 .…”

Coulomb corrections to the Delbrück scattering amplitude at low energies

“…The results of the numerical calculation of the magnetic-loop contribution exact in Zα are presented in Ref. [21]. The comparison of the contribution of the Coulomb corrections to the form factor f 1 Eq.…”

“…[19,20] and, as we will show below, with the magnetic-loop contribution to the g-factor of a bound electron Ref. [21]. We think that the Delbrück scattering amplitude at low energy is useful to estimate the Coulomb corrections for both phenomena.…”

Theory of Bound-Electron g Factor in Highly Charged Ions

“…For the ground 1s state the SE correction to all orders in αZ was first evaluated in Refs. [20][21][22][23] . However, the first experiments on the g factor of H-like C 1 and O 2 demanded more precise calculations of this correction.…”