"Relativistic (Zα)2 Corrections and Leading Quantum Electrodynamic Corr" by Benedikt J. Wundt and Ulrich D. Jentschura
 

Abstract

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.

Department(s)

Physics

Keywords and Phrases

Decay (Organic); Electrodynamics; Gages; Photons; Quantum electronics; Wave functions

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2009 American Physical Society (APS), All rights reserved.

Publication Date

01 Aug 2009

Plum Print visual indicator of research metrics
PlumX Metrics
  • Citations
    • Citation Indexes: 5
  • Usage
    • Downloads: 53
    • Abstract Views: 8
  • Captures
    • Readers: 6
see details

Included in

Physics Commons

Share

 
COinS
 
 
 
BESbswy