Recoil corrections in the hydrogen isoelectronic sequence

A version of the Bethe-Salpeter equation appropriate for calculating recoil corrections in highly charged hydrogenlike ions is presented. The nucleus is treated as a scalar particle of charge Z, and the electron treated relativistically. The known recoil corrections of order $m^2/M(Z\alpha)^4$ are derived in both this formalism and in NRQED

One-loop corrections of order (Z alpha)^6m_1/m_2, (Z alpha)^7 to the muonium fine structure

The corrections of order (Z alpha)^6m_1/m_2 and (Z alpha)^7 from one-loop two-photon exchange diagrams to the energy spectra of the hydrogenic atoms are calculated with the help of the Taylor expansion of corresponding integrands. The method of averaging the quasipotential over the wave functions in the d-dimensional coordinate space is formulated. The numerical values of the obtained contributions to the fine structure of muonium, hydrogen and positronium are presented.Comment: Talk given at the XVIth International Workshop High-Energy Physics and Quantum Field Theory (QFTHEP2001), Moscow, Russia, 6-12 Sep 2001, 12 pages, REVTE

Recoil Corrections of Order (Zα)6(m/M)m(Z\alpha)^6(m/M)m to the Hydrogen Energy Levels Revisited

The recoil correction of order $(Z\alpha)^6(m/M)m$ to the hydrogen energy levels is recalculated and a discrepancy existing in the literature on this correction for the 1S energy level, is resolved. An analytic expression for the correction to the S-levels with arbitrary principal quantum number is obtained.Comment: 17 pages, ReVTe