Electric dipole moment of ${}^{199}$Hg atom from P, CP-odd electron-nucleon interaction

Abstract

We calculate the effect of the P, CP-odd electron-nucleon interaction on the electric dipole moment of the ${}^{199}$Hg atom by evaluating the nuclear spin matrix elements in terms of the nuclear shell model. It is found that the neutron spin matrix element of the ${}^{199}$Hg nucleus is $⟨\Psi |{\sigma }_{nz}|\Psi ⟩\approx -0.4$ with a dominant configuration of $p_{1/2}$ orbital neutron. We also derive constraints on the CP phases of Higgs-doublet models, supersymmetric models, and leptoquark models from the latest experimental limit $|d_{\mathrm{Hg}}|<7.4\times 10^{-30}e$ cm.

Comments: 12 pages, 3 figures