  We study numerically collisions between protons and $H_2^+$ molecular ions at
intermediate impact energies by using the Classical Trajectory Monte Carlo
method (CTMC). Total and differential cross sections are computed. The results
are compared with: a) the standard one electron--two nucleon scattering, and b)
the quantum mechanical treatment of the $ H^{+} - H^{+}_{2} $ scattering.
