Recoil corrections in the hydrogen isoelectronic sequence

Abstract

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.

References in corpus (8)

• Radiative Corrections to the Muonium Hyperfine Structure. I. The ${\alpha }^2(Z\alpha )$ Correction
• Relativistic nuclear recoil corrections to the energy levels of hydrogen-like and high $Z$ lithium like atoms in all orders in $\alpha Z$
• Higher-order binding corrections to the Lamb shift of 2P states
• QED theory of the nuclear recoil effect in atoms
• Two-loop self-energy correction in high-Z hydrogen-like ions
• O(m alpha^7 ln(alpha)^2) corrections to positronium energy levels
• Recoil Corrections of Order $(Z\alpha {)}^6(m/M)m$ to the Hydrogen Energy Levels Revisited
• Recoil Correction to Hydrogen Energy Levels: A Revision