Self-Energy Correction to the Bound-ElectrongFactor in H-like Ions

V. A. Yerokhin, P. Indelicato, V. M. Shabaev
2002 Physical Review Letters  
The one-loop self-energy correction to the 1s electron g factor is evaluated to all orders in Z\alpha with an accuracy, which is essentially better than that of previous calculations of this correction. As a result, the uncertainty of the theoretical prediction for the bound-electron g factor in H-like carbon is reduced by a factor of 3. This improves the total accuracy of the recent electron-mass determination [Beier et al. Phys. Rev. Lett. 88, 011603 (2002)]. The new value of the electron mass is found to be m_e = 0.000 548 579 909 3(3) u.
doi:10.1103/physrevlett.89.143001 pmid:12366041 fatcat:wua4ibac65bi3lkjl5netb4ur4