Two-photon emissionn in the $3 s \to 1 s$ and $3 d \to 1 s$ transitions of hydrogenlike atoms

The results of an exact analytic calculation of the Kramers-Heisenberg matrix elements for the two-photon transitions

3 s - 1 s

and

3 d - 1 s

in hydrogenic atoms are presented. The formulas obtained are used for the study of two-photon emission in the

n = 3 \to n = 1

transition. The numerical results are compared with the experimental data of Bannett and Freund concerning the

K

-shell vacancy filling by two-photon emission in Mo. Our hydrogenic calculation supports the experimental conclusion that in the Mo case the

K^{- 1} \to M^{- 1}

transition is more probable than the

K^{- 1} \to L^{- 1}

transition.

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Two-photon emissionn in the3s→1sand3d→1stransitions of hydrogenlike atoms