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

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 $\langle \Psi |, \sigma_{nz} | \Psi \rangle \approx -0.4$withadominantconfigurationof$p_{1/2}$ orbital neutron. We also derive constraints on the CP phases of Higgs-doublet models, supersymmetric models, and leptoquark models from the latest experimental limit $\mathrm{\mid }{d}_{\mathrm{H}\mathrm{g}}\mathrm{\mid }<7.4\times {10}^{-30}e$ cm.