Two- and three-body dispersion coefficients for interaction of Cu and Ag atoms with Group I, II, and XII elements

The mounting interest in conducting thorough analyses and studies of long-range interactions stems from their wide-ranging applications in cold atomic physics, making it a compelling area for research. In this work, we have evaluated long range van der Waals dispersion (vdW) interactions of Cu and Ag atoms with atoms of group I (Li, Na, K, Rb, Cs, and Fr), II (Be, Mg, Ca, Sr, and Ba), XII (Zn, Cd, and Hg) as well as singly charged ions of group II (Be${}^{+}$, Mg${}^{+}$, Ca${}^{+}$, Sr${}^{+}$, and Ba${}^{+}$) and XII (Zn${}^{+}$, Cd${}^{+}$, and Hg${}^{+}$) by calculating $C_6$(two-body) and $C_9$ (three-body) vdW dispersion coefficients. In order to obtain these $C_6$ and $C_9$ coefficients, we have evaluated the dynamic dipole polarizability of the considered atoms using appropriate relativistic methods and the sum-over-states approach. To ascertain the accuracy of our results, we have compared the evaluated static dipole polarizabilities of Cu and Ag atoms and their oscillator strengths for dominant transitions with available literature. The calculated values of $C_6$ dispersion coefficients have also been compared with the previously reported results.