Two-loop self-energy contribution to the Lamb shift in H-like ions

V. A. Yerokhin (1, 2) , Paul Indelicato (3) , V. M. Shabaev (2)

1 CAS-SPSPU - Center for Advanced Studies
2 Faculty of Physics [St Petersburg]
3 LKB (Jussieu) - Laboratoire Kastler Brossel

The two-loop self-energy correction is evaluated to all orders in Z\\alpha for the ground-state Lamb shift of H-like ions with Z >= 10, where Z is the nuclear charge number and \\alpha is the fine structure constant. The results obtained are compared with the analytical values for the Z\\alpha-expansion coefficients. An extrapolation of the all-order numerical results to Z=1 is presented and implications of our calculation for the hydrogen Lamb shift are discussed.

Domaines: Physique Atomique [physics.atom-ph]

V. A. Yerokhin, Paul Indelicato, V. M. Shabaev. Two-loop self-energy contribution to the Lamb shift in H-like ions. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2005, 71, pp.040101(R)-4. ⟨10.1103/PhysRevA.71.040101⟩. ⟨hal-00003543⟩