“…In particular, electron capture and ionization cross sections have been calculated by applying the first Born approximation [3], the continuumdistorted-wave method [4,5,6,7,8,9,10], the classical trajectory Monte Carlo (CTMC) [11,12,13,14] and the semiclassical treatment with pseudostates [15,16,17,18]. The one-electron probabilities yielded by these calculations are then combined (see [19,20]) to obtain the probabilities for the many-electron processes. For instance, the electron production probability P EP , in ion collisions with H 2 O is given by the simple relationship [21]:…”