Polarizabilities of low-lying states of silver

Assembly of ultracold polar molecules containing silver (Ag) from laser-cooled atoms requires knowledge of the dynamic polarizabilities of Ag at convenient laser wavelengths. We present calculations and analysis of the energies and electric-dipole dc and ac polarizabilities of the low-lying states of neutral Ag. Calculations of the properties of the $4{d}^{10}x$ states, where $x=5s,\phantom{\rule{4pt}{0ex}}6s,\phantom{\rule{4pt}{0ex}}7s,\phantom{\rule{4pt}{0ex}}5p,\phantom{\rule{4pt}{0ex}}6p,\phantom{\rule{4pt}{0ex}}7p,\phantom{\rule{4pt}{0ex}}5d,\phantom{\rule{4pt}{0ex}}6d$, and $4f$, are performed using the linearized coupled cluster single-double method. The properties of the $4{d}^{9}5{s}^{2}\phantom{\rule{0.16em}{0ex}}^{2}D_{5/2,3/2}$ states are obtained within the framework of configuration interaction with 11 and 17 electrons in the valence field. We analyze the different contributions to the polarizabilities and estimate the uncertainties of our predictions.