New classical CTMC approaches to Aq+ + He processes

Any small perturbations in the classical stable Helium atom may produce unphysical autoionization that prevents its classical dynamical study. Previous attempts have required barrier potentials to limit the electron energy. As a first approach we consider two sets of N classical electron trajectories, whose evolution obey the Hamilton equations in the full Hamiltonian. Each classical electron of one set feels the average repulsion due to the classical electrons of the other set. Smoothing of the evaluation of the classical electronic repulsion is proposed assuming that each electron can be described by Gaussian functions centred on the position of the corresponding electrons