Paradoxes of the Standard Adiabatic Born-Oppenheimer Approach to Collision Processes. Their Origin and Possible Solutions

It is demonstrated that conventional applications of the standard adiabatic Born-Oppenheimer approach lead to paradoxes such as nonzero inelastic cross sections for noninteracting collision systems and infinite inelastic collision cross sections. The origin of these paradoxes is the molecular state problem. The quantum solution of the problem, the multielectron reprojection method, is proposed within the standard BO approach.