During the past two decades, the nuclear and atomicoptical experiments to detect parity nonconservation (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 6s^{2}S_{1/2}5d^{2}D_{3/2} transition of the Ba^{+}. In our paper we systematically apply the nuclearrelativistic manybody 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 exchangecorrelation, Breit, weak ee interactions, QED and nuclear (magnetic moment distribution, finite size, neutron skin) corrections, nuclearspin dependent corrections due to anapole moment, Zboson [(A_{n}V_{e}) current] exchange, hyperfineZ exchange [(V_{n}A_{e}) current]. The weak charge is found for 133Cs, 205Tl and 173Yb and comparison with Standard Model is done. Using the experimental value (E_{PNC}/b)= 39mV/cm (Tsigutkin et al, 2009) and our calculated amplitude value 9.707*10^{10} iea_{B}one could find for 173Yb (Z=70, N=103) the weak charge value Q_{W}=92.31 (the SM gives Q_{W}=95.44). The received data are compared with known earlier and recent results [1,2]. The role of the nuclear effects contribution (corepolarization contributions, which are induced by valent protons of a nucleus), spatial distribution of magnetization in a nucleus (the BohrWeisskopf effect), neutron skin correction and the nonaccounted 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).
