R. Longo et al., H-2 SCATTERING USING A NEW TIME-DEPENDENT METHOD FOR ELECTRON-NUCLEARDYNAMICS( +H, HE, AND H), The Journal of chemical physics, 99(6), 1993, pp. 4554-4565
In this paper we apply the recently proposed and implemented electron
nuclear dynamics (END) theory [J. Chem. Phys. 96, 6820 (1992)] to the
study of prototypical ion-atom and ion-molecule collisions. The END th
eory obtains the equations of motion from the time-dependent variation
al principle (TDVP) employing a group theoretical coherent state (CS)
parametrization of the wave function. The approach leads to a fully dy
namical treatment of electrons and nuclei without invoking potential e
nergy surfaces. The present implementation of the END theory constitut
es the simplest ab initio model with the electrons described by a sing
le determinantal wave function and the nuclei treated classically (or
equivalently, with frozen Gaussian wave packets in the limit of a narr
ow widths). The method is applied to the H+ + H, He, and H-2 collision
processes in the energy range of 200-5000 eV. Results for the elastic
and charge transfer differential cross sections, the differential pro
babilities, and the rainbow angles are presented and compared with exp
erimental data. Also, the dynamical trajectories, deflection functions
, and differential vibrational excitation for the H-2 target are calcu
lated and discussed. Effects of initial state molecular orientations,
in the case of the H-2 target, are considered. In general, the results
provided by this model implementation of the END theory are in good a
greement with experimental data.