Hyperfine and Electroweak Interactions
in Heavy Finite Fermi Systems and Parity
Non-conservation Effect
Olga Yu. Khetselius, Alexander V. Glushkov, Eugeny V. Ternovsky,
Vasily V. Buyadzhi and Oleksii L. Mykhailov
Abstract The consistent theoretical approach, namely, nuclear-relativistic many
-body perturbation theory is applied to study of the hyperfine and electroweak interaction parameters, parity non-conservation effect in heavy atomic systems. In fact
the nuclear-relativistic many-body perturbation theory is based on the combining
ab initio perturbation theory formalism for electron subsystem, nuclear relativistic
middle-field model for nuclear subsystem and an energy approach for computing
radiation transition amplitude and allows to fulfil computing the finite Fermi systems (atomic systems) with taking into account the relativistic, correlation, nuclear,
radiative effects. The important feature is the correct accounting for the inter electron
correlations, nuclear, Breit and QED radiative corrections. All correlation corrections
of the second order and dominated classes of the higher orders diagrams are taken
into account. The results of accurate calculation of the hyperfine structure parameters for the caesium are listed. There are presented the values of the nuclear spin
dependent corrections to the PNC
133 Cs: 6 s–7 s amplitude, calculated on the basis of
different theoretical methods. The estimated values of a weak charge Q W for different
heavy atoms (
133 Cs,
173 Yb and others) are presented and compared with alternative
theoretical data.
Keywords Hyperfine structure · Parity non-conservation effect · Relativistic
perturbation theory · Correlation · Nuclear · Radiative corrections
1 Introduction
The parity non-conservation (PNC) or violation experiments in atomic physics provide an important possibility to deduce information on the Standard Model independent of high-energy physics experiments [1–12]. The recent LEP experiments are
fulfilled [1, 2], that yield extremely accurate values for Z-boson properties. In the
last two decades a status of the Standard model has been strengthened by different
experimental achievements of particle physics. It should be mentioned Higgs boson
O. Yu. Khetselius (B) · A. V. Glushkov · E. V. Ternovsky · V. V. Buyadzhi · O. L. Mykhailov
Odessa State Environmental University, L’vovskaya str., bld. 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_4
65
in Heavy Finite Fermi Systems and Parity
Non-conservation Effect
Olga Yu. Khetselius, Alexander V. Glushkov, Eugeny V. Ternovsky,
Vasily V. Buyadzhi and Oleksii L. Mykhailov
Abstract The consistent theoretical approach, namely, nuclear-relativistic many
-body perturbation theory is applied to study of the hyperfine and electroweak interaction parameters, parity non-conservation effect in heavy atomic systems. In fact
the nuclear-relativistic many-body perturbation theory is based on the combining
ab initio perturbation theory formalism for electron subsystem, nuclear relativistic
middle-field model for nuclear subsystem and an energy approach for computing
radiation transition amplitude and allows to fulfil computing the finite Fermi systems (atomic systems) with taking into account the relativistic, correlation, nuclear,
radiative effects. The important feature is the correct accounting for the inter electron
correlations, nuclear, Breit and QED radiative corrections. All correlation corrections
of the second order and dominated classes of the higher orders diagrams are taken
into account. The results of accurate calculation of the hyperfine structure parameters for the caesium are listed. There are presented the values of the nuclear spin
dependent corrections to the PNC
133 Cs: 6 s–7 s amplitude, calculated on the basis of
different theoretical methods. The estimated values of a weak charge Q W for different
heavy atoms (
133 Cs,
173 Yb and others) are presented and compared with alternative
theoretical data.
Keywords Hyperfine structure · Parity non-conservation effect · Relativistic
perturbation theory · Correlation · Nuclear · Radiative corrections
1 Introduction
The parity non-conservation (PNC) or violation experiments in atomic physics provide an important possibility to deduce information on the Standard Model independent of high-energy physics experiments [1–12]. The recent LEP experiments are
fulfilled [1, 2], that yield extremely accurate values for Z-boson properties. In the
last two decades a status of the Standard model has been strengthened by different
experimental achievements of particle physics. It should be mentioned Higgs boson
O. Yu. Khetselius (B) · A. V. Glushkov · E. V. Ternovsky · V. V. Buyadzhi · O. L. Mykhailov
Odessa State Environmental University, L’vovskaya str., bld. 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_4
65