[en] We show that the spacing distributions of low-lying nuclear energy levels recently published by Garrett and collaborators can be represented by a formula previously suggested for the level spacing of systems in transition between order and chaos, equally well if not better than the Brody and Berry-Robnik formulae. (author)

[en] Short communication

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[en] A general expression is obtained for the operator describing evolution of a three-level atom in a three-mode field when the field modes are in resonance with three different transitions in an atomic spectrum. It is shown that, in the absence of one of the modes, the solution obtained coincides with the solution known for a three-level atom in a two-mode field. 7 refs

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[en] Complete text of publication follows. Although we gave a short publication in our institute's Ann. Rep., there was stated in the literature, that such new formulae for the KβLⁱ, and K²βLⁱ satellites and hypersatellites are not existing. In [1] we gave a semiempirical formula for the KαLⁱ satellite energies, and in [2] for the KβLⁱ lines, this latter report we republish in this Ann. Rep., with the original title, containing the symbol β (which was lost during the editorial process in the case of first publication), emphasising the new content. Regarding the K²βLⁱ hypersatellites they were not measured at all by crystal spectrometers. The K²βLⁱ hypersatellites are very weak lines. They are regarded, as not available for measurements by crystal spectrometers. Nowadays the situation is changing, the better and better resolution and the use of high efficiency position sensitive detectors makes these hypersatellites to become investigable. In a pair of spectra (Ca and Ti) - I got from the authors (the group of prof. J.-Cl. Dousse) prior to publication [3], - there were a few weak, but definite, although unassigned lines, which comparing to our multiple ionization satellite energy systematics [2], turned to be such hypersatellites, including their K²βLⁱ satellites. We found also an indication of such hypersatellites for Ti in the literature [4], dated about ten years earlier. The Dousse-group was informed about our observation in their spectra, and as to my knowledge, now a project is running successfully to measure such hypersatellites in the range of elements around Cr. (author)