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.