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Studies on the interactions between an alkali atom and an alkaline earth ionat low energy are important in the field of cold chemistry. In this paper we,extensively, study the structure, interactions, and dynamics of (MgCs)$^+$molecular ion. We use an ab initio approach based on the formalism ofnon-empirical pseudo-potential for Mg$^{2+}$ and Cs$^+$ cores, large Gaussianbasis sets and full valence configuration interaction. In this context, the(MgCs)$^+$ cation is treated as an effective two-electron system. Potentialenergy curves and their spectroscopic constants for the ground and the first 41excited states of $^{1,3}\Sigma^+$, $^{1,3}\Pi$ and $^{1,3}\Delta$ symmetriesare determined. Furthermore, we identify the avoided crossings between theelectronic states of $^{1,3}\Sigma^+$ and $^{1,3}\Pi$ symmetries. Thesecrossings are related to the charge transfer process between the two ioniclimits Mg/Cs$^+$ and Mg$^+$/Cs. In addition, vibrational-level spacings, thetransition and permanent dipole moments are presented and analysed. Using theproduced potential energy data, the ground-state scattering wave functions andelastic cross sections for a wide range of energies are performed. Furthermore,we predict the formation of translationally and rotationally cold molecular ion(MgCs) + in the ground state electronic potential energy by stimulated Ramantype process aided by ion-atom cold collision. In the low energy limit (< 1mK), elastic scattering cross sections exhibit Wigner law threshold behaviour;while in the high energy limit the cross sections as a function of energy E goas E$^{-1/3}$. A qualitative discussion about the possibilities of forming thecold (MgCs)$^+$ molecular ions by photoassociative spectroscopy is presented.

Electronic structure, spectroscopy, cold ion-atom elastic collision properties and photoassociation formation prediction of (MgCs)$^+$ molecular ion