Ulrich D Jentschura 2008 J. Phys. A: Math. Theor. 41 155307 doi:10.1088/1751-8113/41/15/155307
Two-photon decays reexamined: cascade contributions and gauge invariance
Ulrich D Jentschura
Show affiliationsThe purpose of this paper is to calculate the two-photon decay rate corresponding to the two-photon transitions nS → 1S and nD → 1S in hydrogen-like 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 (Zα)6/n3, where α 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.
- PACS
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32.80.Xx Level crossing and optical pumping
32.10.Fn Fine and hyperfine structure
31.15.-p Calculations and mathematical techniques in atomic and molecular physics
31.30.J- Relativistic and quantum electrodynamic (QED) effects in atoms, molecules, and ions
- MSC
- Subjects
- Dates
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Issue 15 (18 April 2008)
Received 31 December 2007, in final form 18 February 2008
Published 2 April 2008
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Two-photon decays reexamined: cascade contributions and gauge invariance
Ulrich D Jentschura 2008 J. Phys. A: Math. Theor. 41 155307
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