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

Abstract

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.

Talk given at the XVIth International Workshop High-Energy Physics and Quantum Field Theory (QFTHEP2001), Moscow, Russia, 6-12 Sep 2001, 12 pages, REVTEX

References in corpus (3)

• Theory of Light Hydrogenlike Atoms
• O(alpha^3 ln alpha) corrections to muonium and positronium hyperfine splitting
• Order alpha_s^3 ln^2(1/alpha_s) Corrections to Heavy-Quarkonium Creation and Annihilation

Cited by in corpus (2)

• Hyperfine structure of the ground state muonic He-3 atom
• Ground state hyperfine structure in muonic lithium ions