Advanced Quantum Approach to Calculation of Probabilities of the Cooperative Electron-γ Vibrational-Nuclear Transitions in Spectra of Diatomics Molecules

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AbstractIn this paper a review of modern concepts in a cooperative electron-gamma-nuclear spectroscopy of atomic and molecular systems is presented. It is elaborated an advanced quantum approach to computing the energy and spectral parameters of the cooperative electron-γ-vibrational-rotational-nuclear transitions in spectra of diatomic molecules. The approach generalizes the known Letokhov-Minogin model and it is based on using an effective precise method of calculating potential energy curves, molecular constants, dipole moments etc. for diatomic molecules within formally accurate Rayleigh-Schrödinger perturbation theory. Another approach to computing potential energy curves, molecular constants etc. used is based on using solutions of the Schrödinger equation with a generalized Simons-Parr-Finlan model potential. The results of computing spectra of γ-radiation and absorption of the nucleus in the diatomic molecules of the H127I, H79Br etc. are presented. It is performed a detailed comparison the obtained data with the known pioneering results by Letokhov-Minogin for the emission and absorption spectrum of the nucleus 127I bound in the molecule H127I. The results of calculation of spectrum of gamma radiation and absorption of the nucleus 133Cs (gamma transition energy \(E^{(0)}_{\upgamma}\) = 81 keV) in a diatomic molecule 85Rb133Cs (R0 = 4.39 A, νe′ = 50.1 cm−1, De = 1.25 D) with using solutions of the Schrödinger equation with a generalized model potential of Simons-Parr-Finlan type and the Rayleigh-Schrödinger perturbation theory potential are obtained. The contours of a new cooperative electron-γ-nuclear spectroscopy of the cold and ultracold Rydberg molecules are outlined.KeywordsCooperative electron-gamma-nuclear spectroscopyAdvanced quantum approachDiatomic moleculesElectron-vibrational-rotational-nuclear transitionsSpectrum of γ-radiation and absorption of a nucleusUltracold Rydberg molecules