  The method of zero-range potentials is generalized to account for the
molecular electron excitation process. It is made by a matrix formulation in
which a state vector components are associated with a scattering channel. The
multi-center target is considered and the model is applied to the example of $e
+ H_2$ low energy scattering. The results of evaluation of cross-sections are
compared with ones of the MCF and SMC methods.
