Experimental and theoretical cross-sections for the charge-exchange reaction of He⁺-DME (left panel) and He⁺-MF (right panel), as a function of the collision energy. The black points represent the measured total cross-sections (Cernuto et al. 2017, 2018). Error bars represent a 35% error on the absolute values of the cross-section (relative cross-sections have smaller uncertainties). The curves represent the total cross-sections calculated by our model, which is based on an improved Landau-Zener-Stückelberg approach (green lines), and a simple Langevin model (red dashed lines), (see text for detail).