Large-scale shell-model calculation and nuclear Schiff moment of ¹⁹⁹Hg

Nuclear Schiff moments contribute to the atomic electric dipole moments (EDM) of diamagnetic atoms such as mercury. The atomic EDM of ¹⁹⁹Hg has been tried to be measured, and the strictest limits on some CP-violating mechanisms have been found. On the other hand, it has been difficult to prepare the nuclear wavefunction and calculate the nuclear Schiff moment accurately, for example, in large-scale shell-model calculations. We have performed large-scale shell-model calculations in neighboring regions on the nuclear chart [1,2]. In this study we establish an effective interaction which can systematically reproduce nuclear energy spectra, electromagnetic transition rates, and electromagnetic moments of the nuclei around ¹⁹⁹Hg. Then we calculate the nuclear Schiff moment of ¹⁹⁹Hg with the effective interaction developed.

[1] E. Teruya, K. Higashiyama, and N. Yoshinaga, “Large-scale shell-model calculations of nuclei around mass 210”, Phys. Rev. C 93, 064327 (2016).

[2] K. Yanase, E. Teruya, K. Higashiyama, and N. Yoshinaga, “Shell-model study of Pb, Bi, Po, At, Rn, and Fr isotopes with masses from 210 to 217”, Phys. Rev. C (Accepted 15 June 2018).