The semiclassical version of the non-local resonance theory of electron-molecule collisions

The semiclassical approach in the framework of the non-local theory of resonance electron-molecule collisions is developed. The basic integro-differential equation of this theory is reduced to the recursion set of linear equations, the number of the equations is equal to the total number of the vibrational levels of the target molecule. The continuum of the molecule dissociative states is taken into account by the boundary condition. The semiclassical approach makes it possible to calculate the whole set of cross sections for all the channels which are accessible at the value of the total energy under consideration. These cross sections are calculated for the model systems, F 2 and HCl molecules. The relation between local and non-local theories is considered. It is shown that the local theory is well founded if the molecule and resonance energy curves cross far from the equilibrium geometry and if the threshold dependence of the width of the resonance state on the electron energy is smooth enough.