We calculate the relativistic corrections of relative order (Zα) 2 to the two-photon decay rate of higher excited S and D states in ionic atomic systems, and we also evaluate the leading radiative corrections of relative order α (Zα) 2 ln [(Zα) -2]. We thus complete the theory of the two-photon decay rates up to relative order α3 ln (α). An approach inspired by nonrelativistic quantum electrodynamics is used. We find that the corrections of relative order (Zα) 2 to the two-photon decay are given by the Zitterbewegung, by the spin-orbit coupling and by relativistic corrections to the electron mass, and by quadrupole interactions. We show that all corrections are separately gauge invariant with respect to a "hybrid" transformation from velocity to length gauge, where the gauge transformation of the wave function is neglected. The corrections are evaluated for the two-photon decay from 2S, 3S, 3D, and 4S states in one-electron (hydrogenlike) systems, with 1S and 2S final states.
B. J. Wundt and U. D. Jentschura, "Relativistic (Zα)2 Corrections and Leading Quantum Electrodynamic Corrections to the Two-Photon Decay Rate of Ionic States," Physical Review a - Atomic Molecular, and Optical Physics, American Physical Society (APS), Aug 2009.
The definitive version is available at https://doi.org/10.1103/PhysRevA.80.022505
Keywords and Phrases
Decay (Organic); Electrodynamics; Gages; Photons; Quantum electronics; Wave functions
Article - Journal
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