Search for parity- and time-and-parity-violation effects in lead monofluoride (PbF): Ab initio molecular study

The relativistic coupled-clusters method combined with the generalized relativistic effective core potential approach and nonvariational one-center restoration technique is applied to evaluation of parameters of the spin-rotational effective Hamiltonian in lead monofluoride to study the effects of violation of time-reversal invariance (T) and space parity (P) in PbF. The obtained hyperfine structure constants, A(parallel to) = 9942 MHz and A(perpendicular to) = -7174 MHz, are stable with respect to the improvement of the correlation treatment, and they are in very good agreement with the experimental data, A(parallel to) = 10 147 MHz and A(perpendicular to) = -7264 MHz [R. J. Mawhorter, B. S. Murphy, A. L. Baum, T. J. Sears, T. Yang, P. M. Rupasinghe, C. P. McRaven, N. E. Shafer-Ray, L. D. Alphei, and J.-U. Grabow, Phys. Rev. A 84, 022508 (2011); A. N. Petrov, L. V. Skripnikov, A. V. Titov, and R. J. Mawhorter, ibid. 88, 010501(R) (2013)]. This is essential to the important task of verifying the value of effective electric field E-eff = 40 GV/cm, the parameter of P-odd interaction W-P = -1213 Hz, and the parameter of T,P-odd pseudoscalar-scalar electron-nucleus interaction W-T,(P) = 91 kHz, which are of primary interest in the Brief Report.