4 research outputs found
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 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 to the Hydrogen Energy Levels Revisited
The recoil correction of order 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