  We present a study on ion-atom-atom reaction A+A+B$^+$ in a wide range of
systems and collision energies ranging from 100$~\mu$K to 10$^5~$K, analyzing
the two possible products: molecules and molecular ions. The dynamics is
performed via a direct three-body formalism based on a classical trajectory
method in hyperspherical coordinates developed in [J. Chem. Phys.
$\textbf{140}$, 044307 (2014)]. Our chief finding is that the dissociation
energy of the molecular ion product acts as a threshold energy separating the
low and high energy regimes. In the low energy regime, the long-range tail of
the three-body potential dictates the fate of the reaction and the main
reaction product. On the contrary, in the high energy regime, the short-range
of atom-atom and atom-ion interaction potential dominates the dynamics,
enhancing molecular formation for the low energy regime.
