Physics – Atomic Physics
Scientific paper
2007-05-06
J.Phys.A40:F223-F227,2007
Physics
Atomic Physics
3 pages; LaTeX
Scientific paper
10.1088/1751-8113/40/9/F02
Two-photon decay rates in simple atoms such as hydrogenlike systems represent rather interesting fundamental problems in atomic physics. The sum of the energies of the two emitted photons has to fulfill an energy conservation condition, the decay takes place via intermediate virtual states, and the total decay rate is obtained after an integration over the energy of one of the emitted photons. Here, we investigate cases with a virtual state having an energy intermediate between the initial and the final state of the decay process, and we show that due to non-uniform convergence, only a careful treatment of the singularities infinitesimally displaced from the photon integration contour leads to consistent and convergent results.
Jentschura Ulrich D.
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