Relativistic Quantum Chemistry
and Spectroscopy of Kaonic Atomic
Systems with Accounting for Radiative
and Strong Interaction Effects
Olga Yu. Khetselius, Andrey A. Svinarenko, Valentin B. Ternovsky,
Yuliya V. Dubrovskaya and Inga N. Serga
Abstract It is presented a consistent relativistic approach to calculation of spectra
and spectroscopic characteristics of the kaonic multielectron atomic systems on the
basis of the Klein–Gordon–Fock equation with simultaneous accounting for the electromagnetic and strong kaon-nuclear interactions. The theoretical study of different
characteristics of kaonic atoms is of a great interest both for the development of modern relativistic quantum chemistry of the systems with electromagnetic and strong
interactions, as well as for further understanding and development of advanced concepts of atomic and nuclear structures. In our approach the known modified method of
optical potential is used to take a strong kaon-nuclear interaction into consideration.
The consistent procedures are used to take the nuclear (the finite nuclear size effect)
and QED (radiative) corrections into account. In particular, the advanced Uehling–
Serber approach is applied to calculate the Lamb shift polarization part contribution.
As illustration, we present some results of calculation of the energy and spectroscopic
characteristics for kaonic atoms of the He, Li, K,
184 W,
207 Pb,
238 U etc. An analysis of
the electromagnetic and strong interactions contributions to the transitions energies
in X-ray spectra of the kaonic helium and of the “kaonic helium puzzle” is presented.
The results of calculation of the transition energies in the heavy kaonic atoms are
presented and compared with the experimental and alternative theoretical data, in
particular, obtained with using the simplest cascade model by Fermi–Teller and consistent method by Indelicato et al. The largest contribution to the transition energy is
determined by the main Coulomb term. The contribution of radiation QED corrections, in particular, corrections for a vacuum polarization (including higher orders),
is essential for the precise determination of the corresponding transition energy. The
calculated and measured strong interaction shifts and widths for the kaonic atom
X-ray transitions are listed and analysed.
Keywords Quantum chemistry and spectroscopy · Kaonic atoms · Relativistic
many-body perturbation theory · Klein–Gordon–Fock equation · Strong
kaon-nuclear optical potential · Radiative corrections
O. Yu. Khetselius · A. A. Svinarenko (B) · V. B. Ternovsky · Y. V. Dubrovskaya · I. N. Serga
Odessa State Environmental University, L’vovskaya Str., 15, Odessa 65016, Ukraine
© Springer Nature Switzerland AG 2020
L. Mammino et al. (eds.), Advances in Quantum Systems in Chemistry,
Physics, and Biology, Progress in Theoretical Chemistry and Physics 32,
https://doi.org/10.1007/978-3-030-34941-7_2
33
and Spectroscopy of Kaonic Atomic
Systems with Accounting for Radiative
and Strong Interaction Effects
Olga Yu. Khetselius, Andrey A. Svinarenko, Valentin B. Ternovsky,
Yuliya V. Dubrovskaya and Inga N. Serga
Abstract It is presented a consistent relativistic approach to calculation of spectra
and spectroscopic characteristics of the kaonic multielectron atomic systems on the
basis of the Klein–Gordon–Fock equation with simultaneous accounting for the electromagnetic and strong kaon-nuclear interactions. The theoretical study of different
characteristics of kaonic atoms is of a great interest both for the development of modern relativistic quantum chemistry of the systems with electromagnetic and strong
interactions, as well as for further understanding and development of advanced concepts of atomic and nuclear structures. In our approach the known modified method of
optical potential is used to take a strong kaon-nuclear interaction into consideration.
The consistent procedures are used to take the nuclear (the finite nuclear size effect)
and QED (radiative) corrections into account. In particular, the advanced Uehling–
Serber approach is applied to calculate the Lamb shift polarization part contribution.
As illustration, we present some results of calculation of the energy and spectroscopic
characteristics for kaonic atoms of the He, Li, K,
184 W,
207 Pb,
238 U etc. An analysis of
the electromagnetic and strong interactions contributions to the transitions energies
in X-ray spectra of the kaonic helium and of the “kaonic helium puzzle” is presented.
The results of calculation of the transition energies in the heavy kaonic atoms are
presented and compared with the experimental and alternative theoretical data, in
particular, obtained with using the simplest cascade model by Fermi–Teller and consistent method by Indelicato et al. The largest contribution to the transition energy is
determined by the main Coulomb term. The contribution of radiation QED corrections, in particular, corrections for a vacuum polarization (including higher orders),
is essential for the precise determination of the corresponding transition energy. The
calculated and measured strong interaction shifts and widths for the kaonic atom
X-ray transitions are listed and analysed.
Keywords Quantum chemistry and spectroscopy · Kaonic atoms · Relativistic
many-body perturbation theory · Klein–Gordon–Fock equation · Strong
kaon-nuclear optical potential · Radiative corrections
O. Yu. Khetselius · A. A. Svinarenko (B) · V. B. Ternovsky · Y. V. Dubrovskaya · I. N. Serga
Odessa State Environmental University, L’vovskaya Str., 15, Odessa 65016, Ukraine
© Springer Nature Switzerland AG 2020
L. Mammino et al. (eds.), Advances in Quantum Systems in Chemistry,
Physics, and Biology, Progress in Theoretical Chemistry and Physics 32,
https://doi.org/10.1007/978-3-030-34941-7_2
33