Magnetic moment of a bound electron

Abstract

Theoretical predictions underlying determinations of the fine structure constant alpha and the electron-to-proton mass ratio m_e/m_p are reviewed, with the emphasis on the bound electron magnetic anomaly g-2. The theory of the interaction of hydrogen-like ions with a magnetic field is discussed. The status of efforts aimed at the determination of O(alpha (Z alpha)^5) and O(alpha^2 (Z alpha)^5) corrections to the g factor is presented. The reevaluation of analogous corrections to the Lamb shift and the hyperfine splitting is summarized.

arXiv comment6 pages, 3 figures, Talk presented at 10th DESY Workshop on Elementary Particle Theory: Loops and Legs in Quantum Field Theory, Wörlitz, Germany, 25-30 April 2010

References in corpus (22)

• New Measurement of the Electron Magnetic Moment and the Fine Structure Constant
• New features of FORM
• Algorithm FIRE -- Feynman Integral REduction
• The analytical value of the electron (g-2) at order alpha^3 in QED
• Complete Corrections of O(αα_s) to the Decay of the Z Boson into Bottom Quarks
• MATAD: a program package for the computation of MAssive TADpoles
• Combination of Bloch oscillations with a Ramsey-Bordé interferometer : new determination of the fine structure constant
• Complete two-loop correction to the bound-electron g factor
• Recoil correction to the bound-electron g factor in H-like atoms to all orders in $\alpha Z$
• Fine structure of helium-like ions and determination of the fine structure constant
• Self-energy correction to the bound-electron g factor in H-like ions
• CORRECTIONS OF ORDER ${\alpha }^2(Z\alpha {)}^5$ TO HYPERFINE SPLITTING AND LAMB SHIFT
• Evaluation of the self-energy correction to the g-factor of S states in H-like ions
• Nonrelativistic QED approach to the bound-electron g factor
• QED theory of the nuclear recoil effect on the atomic g factor
• Anomalous magnetic moment of a bound electron
• Electron self-energy in the presence of magnetic field: hyperfine splitting and g factor
• Delbruck scattering and the g-factor of a bound electron
• Relativistic corrections of mα^6(m/M) order to the hyperfine structure of the H_2^+ molecular ion
• Binding two-loop vacuum-polarization corrections to the bound-electron g factor
• Radiative-nonrecoil corrections of order alpha^2 (Z alpha)^5 to the Lamb shift
• Radiative-nonrecoil corrections of order alpha^2 (Z alpha) E_F to the hyperfine splitting of muonium