Relativistic [ital ab] [ital initio] calculations for ion-atom collisions

Within the independent particle model we solve the time---dependent single-particle equation using [ital ab] [ital initio] [ital SCF]-DIRAC-FOCK-SLATER wavefunctions as a basis. To reinstate the many-particle aspect of the collision system we use the inclusive probability formalism to answer experimental questions. As an example we show an application to the case of S[sup 15+] on Ar where experimental data on the K-K charge transfer are available for a wide range of impact energies from 4.7 to 90 MeV. Our molecular adiabatic calculations and the evaluation using the inclusive probability formalism show good results in the low energy range from 4.7 to 16 MeV impact energy.