Proton collisions with hydrogen molecules at 30 eV in the laboratory f
rame is a simple ion-molecule system exhibiting a number of distinct p
rocesses such as inelastic scattering, charge transfer, rearrangement,
and dissociation. The electron nuclear dynamics (END) theory which al
lows full electron nuclear coupling and which does not restrict the sy
stem from reaching any of the possible product channels, is applied to
this sytem to produce transition probabilities, differential, and int
egral (vibrationally resolved) cross sections. Comparisons with experi
ment demonstrate that END, even in its simplest implementation, with a
single determinantal state for the electrons and with classical nucle
i, yields results that are competitive with other theoretical approach
es. (C) 1995 American Institute of Physics.