Spectroscopy of Radiative Decay
Processes in Heavy Rydberg
Alkali Atomic Systems
Valentin B. Ternovsky, Alexander V. Glushkov, Olga Yu. Khetselius,
Marina Yu. Gurskaya and Anna A. Kuznetsova
Abstract We present the results of studying the radiation decay processes and
computing the probabilities and oscillator strengths of radiative transitions in spectra
of heavy Rydberg alkali-metal atoms. All calculations of the radiative decay
(transitions) probabilities have been carried out within the generalized relativistic
energy approach (which is based on the Gell-Mann and Low S-matrix formalism)
and the relativistic many-body perturbation theory with using the optimized
one-quasiparticle representation and an accurate accounting for the critically
important exchange-correlation effects as the perturbation theory second and higher
orders ones. The precise data on spectroscopic parameters (energies, reduced dipole
transition matrix elements, amplitude transitions) of the radiative transitions nS 1/2
→ n′P 1/2,3/2 (n = 5, 6; n′ = 10–70), nP 1/2,3.2 → n′D 3/2,5/2 (n = 5, 6; n′ = 10–80) in
the Rydberg Rb, Cs spectra and the transitions 7S 1/2 -nP 1/2,3/2 , 7P 1/2,3.2 -nD 3/2,5/2
(n = 20–80) in the Rydberg francium spectrum are presented. The obtained results
are analyzed and discussed from viewpoint of the correct accounting for the relativistic and exchange-correlation effects. It has been shown that theoretical approach
used provides an effective accounting of the multielectron exchange-correlation
effects, including effect of essentially non-Coulomb grouping of Rydberg levels and
others.
Keywords Radiation decay processes ⋅ Multielectron atoms and multicharged
ions ⋅ Relativistic energy approach
V. B. Ternovsky ( ✉ ) ⋅ A. V. Glushkov ⋅ O. Yu. Khetselius ⋅ M. Yu. Gurskaya
A. A. Kuznetsova
Odessa State Environmental University, L’vovskaya Str., 15,
Odessa-9 65016, Ukraine
e-mail: ternovskyvb@gmail.com
© Springer International Publishing AG, part of Springer Nature 2018
Y. A. Wang et al. (eds.), Concepts, Methods and Applications of Quantum Systems
in Chemistry and Physics, Progress in Theoretical Chemistry and Physics 31,
https://doi.org/10.1007/978-3-319-74582-4_13
229
Processes in Heavy Rydberg
Alkali Atomic Systems
Valentin B. Ternovsky, Alexander V. Glushkov, Olga Yu. Khetselius,
Marina Yu. Gurskaya and Anna A. Kuznetsova
Abstract We present the results of studying the radiation decay processes and
computing the probabilities and oscillator strengths of radiative transitions in spectra
of heavy Rydberg alkali-metal atoms. All calculations of the radiative decay
(transitions) probabilities have been carried out within the generalized relativistic
energy approach (which is based on the Gell-Mann and Low S-matrix formalism)
and the relativistic many-body perturbation theory with using the optimized
one-quasiparticle representation and an accurate accounting for the critically
important exchange-correlation effects as the perturbation theory second and higher
orders ones. The precise data on spectroscopic parameters (energies, reduced dipole
transition matrix elements, amplitude transitions) of the radiative transitions nS 1/2
→ n′P 1/2,3/2 (n = 5, 6; n′ = 10–70), nP 1/2,3.2 → n′D 3/2,5/2 (n = 5, 6; n′ = 10–80) in
the Rydberg Rb, Cs spectra and the transitions 7S 1/2 -nP 1/2,3/2 , 7P 1/2,3.2 -nD 3/2,5/2
(n = 20–80) in the Rydberg francium spectrum are presented. The obtained results
are analyzed and discussed from viewpoint of the correct accounting for the relativistic and exchange-correlation effects. It has been shown that theoretical approach
used provides an effective accounting of the multielectron exchange-correlation
effects, including effect of essentially non-Coulomb grouping of Rydberg levels and
others.
Keywords Radiation decay processes ⋅ Multielectron atoms and multicharged
ions ⋅ Relativistic energy approach
V. B. Ternovsky ( ✉ ) ⋅ A. V. Glushkov ⋅ O. Yu. Khetselius ⋅ M. Yu. Gurskaya
A. A. Kuznetsova
Odessa State Environmental University, L’vovskaya Str., 15,
Odessa-9 65016, Ukraine
e-mail: ternovskyvb@gmail.com
© Springer International Publishing AG, part of Springer Nature 2018
Y. A. Wang et al. (eds.), Concepts, Methods and Applications of Quantum Systems
in Chemistry and Physics, Progress in Theoretical Chemistry and Physics 31,
https://doi.org/10.1007/978-3-319-74582-4_13
229