XVIth International Workshop on
Quantum Systems in
Chemistry and Physics
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Nuclear-Relativistic Many-Body Perturbation Theory to Parity Nonconservation Effect in Heavy Atoms and Nuclei
Olga Yu. Khetselius
Department of Mathematics, Odessa OSENU University, Odessa-9, Ukraine
During the past two decades, the nuclear and atomic-optical experiments to detect parity non-conservation (PNC) have progressed to the point where PNC amplitudes can be measured with accuracy on the level of a few percents in certain heavy atoms and significantly worse in some nuclei (Mossbauer spectroscopy). Nowadays the PNC in atoms has a potential to probe a new physics beyond the standard model. Promising idea (Forston) is to apply the techniques of laser cooling and ion trapping to measurement of the PNC in 6s2S1/2-5d2D3/2 transition of the Ba+. In our paper we systematically apply the nuclear-relativistic many-body perturbation theory formalism [1] to precise studying PNC effect in heavy atoms with account for nuclear, correlation and QED corrections. There are determined the PNC radiative amplitudes for a set of nuclei (atoms): 133Cs, 137Ba+, 173Yb with account of the exchange-correlation, Breit, weak e-e interactions, QED and nuclear (magnetic moment distribution, finite size, neutron skin) corrections, nuclear-spin dependent corrections due to anapole moment, Z-boson [(AnVe) current] exchange, hyperfine-Z exchange [(VnAe) current]. The weak charge is found for 133Cs, 205Tl and 173Yb and comparison with Standard Model is done. Using the experimental value (EPNC/b)= 39mV/cm (Tsigutkin et al, 2009) and our calculated amplitude value 9.707*10-10 ieaBone could find for 173Yb (Z=70, N=103) the weak charge value QW=-92.31 (the SM gives QW=-95.44). The received data are compared with known earlier and recent results [1,2]. The role of the nuclear effects contribution (core-polarization contributions, which are induced by valent protons of a nucleus), spatial distribution of magnetization in a nucleus (the Bohr-Weisskopf effect), neutron skin correction and the non-accounted high order QED corrections are analyzed.
References
[1] O.Khetselius, Phys.Scripta T34, 014023 (2009); Int.J.Quant.Chem. 109, 3330 (2009); A.V.Glushkov, O.Khetselius etal, Frontiers in Quantum Systems in Chem. and Phys. (Springer) 18, 505 (2008).
[2] W. Johnson, M.S.Safronova, U.I.Safronova, Phys.Rev. A69, 062106 (2003); V.V.Flambaum, J.S.Ginges, Phys.Rev. A72, 052115 (2005).


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