We present accurate values of the atomic properties that are sensitive to an external electric field in an experiment, such as static electric dipole and quadrupole polarizabilities, hyperpolarizabilities, and quadrupole moments of the low-lying $5s^2{}^{1}S_0$, $5s5p{}^{3}P_{0,1,2}$, and $5s5p{}^{1}P_1$ states of the Cd atom. The four-component relativistic coupled-cluster theory is employed to determine the atomic wave functions and energies. The finite-field approach is adopted to estimate the above quantities from the evaluated energies. The roles of electron correlation effects in the calculations are demonstrated by giving results that are obtained with different approximations. Precise knowledge of the above spectroscopic properties is useful for estimating typical systematics of the optical clocks built using the Cd atoms.

• Received 22 November 2020
• Accepted 6 January 2021

DOI:https://doi.org/10.1103/PhysRevA.103.013109