Relativistic Quantum Chemistry
and Spectroscopy of Exotic Atomic
Systems with Accounting for Strong
Interaction Effects
O. Yu. Khetselius, A. V. Glushkov, Yu. V. Dubrovskaya,
Yu. G. Chernyakova, A. V. Ignatenko, I. N. Serga
and L. A. Vitavetskaya
Abstract We present the fundamentals of a consistent relativistic theory of spectra
of the exotic pionic atomic systems on the basis of the Klein-Gordon-Fock equation
approach and relativistic many-body perturbation theory (electron subsystem). The
key feature of the theory is simultaneous accounting for the electromagnetic and
strong pion-nuclear interactions by means of using the generalized radiation and
strong pion-nuclear optical potentials. The nuclear and radiative corrections are
effectively taken into account. The modified Uehling-Serber approximation is used
to take into account for the Lamb shift polarization part. In order to take into
account the contribution of the Lamb shift self-energy part we have used the
generalized non-perturbative procedure, which generalizes the Mohr procedure and
radiation model potential method by Flambaum-Ginges. There are presented data of
calculation of the energy and spectral parameters for pionic atoms of the
93 Nb,
173 Yb,
181 Ta,
197 Au, with accounting for the radiation (vacuum polarization),
nuclear (finite size of a nucleus) and the strong pion-nuclear interaction corrections.
The measured values of the Berkley, CERN and Virginia laboratories and alternative data based on other versions of the Klein-Gordon-Fock theories with taking
into account for a finite size of the nucleus in the model uniformly charged sphere
and the standard Uehling-Serber radiation correction are listed too.
Keywords Relativistic quantum chemistry ⋅ Spectroscopy of exotic atoms
Relativistic perturbation theory ⋅ Energy approach ⋅ Nuclear and radiative
corrections ⋅ Pionic atomic systems
O. Yu. Khetselius ( ✉ ) ⋅ A. V. Glushkov ⋅ Yu. V. Dubrovskaya ⋅ Yu. G. Chernyakova ⋅
A. V. Ignatenko ⋅ I. N. Serga ⋅ L. A. Vitavetskaya
Odessa State Environmental University, L’vovskaya Str., 15, 65016 Odessa, Ukraine
e-mail: okhetsel@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_5
71
and Spectroscopy of Exotic Atomic
Systems with Accounting for Strong
Interaction Effects
O. Yu. Khetselius, A. V. Glushkov, Yu. V. Dubrovskaya,
Yu. G. Chernyakova, A. V. Ignatenko, I. N. Serga
and L. A. Vitavetskaya
Abstract We present the fundamentals of a consistent relativistic theory of spectra
of the exotic pionic atomic systems on the basis of the Klein-Gordon-Fock equation
approach and relativistic many-body perturbation theory (electron subsystem). The
key feature of the theory is simultaneous accounting for the electromagnetic and
strong pion-nuclear interactions by means of using the generalized radiation and
strong pion-nuclear optical potentials. The nuclear and radiative corrections are
effectively taken into account. The modified Uehling-Serber approximation is used
to take into account for the Lamb shift polarization part. In order to take into
account the contribution of the Lamb shift self-energy part we have used the
generalized non-perturbative procedure, which generalizes the Mohr procedure and
radiation model potential method by Flambaum-Ginges. There are presented data of
calculation of the energy and spectral parameters for pionic atoms of the
93 Nb,
173 Yb,
181 Ta,
197 Au, with accounting for the radiation (vacuum polarization),
nuclear (finite size of a nucleus) and the strong pion-nuclear interaction corrections.
The measured values of the Berkley, CERN and Virginia laboratories and alternative data based on other versions of the Klein-Gordon-Fock theories with taking
into account for a finite size of the nucleus in the model uniformly charged sphere
and the standard Uehling-Serber radiation correction are listed too.
Keywords Relativistic quantum chemistry ⋅ Spectroscopy of exotic atoms
Relativistic perturbation theory ⋅ Energy approach ⋅ Nuclear and radiative
corrections ⋅ Pionic atomic systems
O. Yu. Khetselius ( ✉ ) ⋅ A. V. Glushkov ⋅ Yu. V. Dubrovskaya ⋅ Yu. G. Chernyakova ⋅
A. V. Ignatenko ⋅ I. N. Serga ⋅ L. A. Vitavetskaya
Odessa State Environmental University, L’vovskaya Str., 15, 65016 Odessa, Ukraine
e-mail: okhetsel@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_5
71