Predrag S. Krstic*, Gary Bent+ and David R. Schultz*
     *Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN, USA
	    +Physics Department, University of Connecticut, CT, USA
A previously developed multielectron-multicenter hidden crossings theory for
treatment of slow collisions involving ions and atoms was based on the 
Unrestricted Hartree-Fock (UHF) and the single-excited-electron Configuration
Interaction (SCI) methods, both obtained by analytical extension of the 
internuclear distance R into the complex plane. Here we further generalize
the method by allowing all-electron excitations while optimizing Slater-type 
primitives in each step in the complex R-plane. We apply it to describe 
ionization of He by slow protons and antiprotons and excitation of H in slow 
collision with H.