Two-Photon Decays Reexamined: Cascade Contributions and Gauge Invariance

Details Two-Photon Decays Reexamined: Cascade Contributions and Gauge Invariance Two-Photon Decays Reexamined: Cascade Contributions and Gauge Invariance

2008-07-03

arxiv.org/abs/0807.0648v1

J.Phys.A 41 (2008) 155307

Physics

Atomic Physics

10 pages, LaTeX

Scientific paper

10.1088/1751-8113/41/15/155307

The purpose of this paper is to calculate the two-photon decay rate corresponding to the two-photon transitions nS->1S and nD->1S in hydrogenlike ions with a low nuclear charge number Z (for principal quantum numbers n = 2,...,8. Numerical results are obtained within a nonrelativistic framework, and the results are found to scale approximately as (Z alpha)^6/n^3, where alpha is the fine-structure constant. We also attempt to clarify a number of subtle issues regarding the treatment of the coherent, quasi-simultaneous emission of the two photons as opposed to one-photon cascades. In particular, the gauge invariance of the decay rate is shown explicitly.

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