CONTRADICTIONS IN SCATTERING THEORY

The standard scattering theory (SST) in non relativistic quantum mechanics (QM) is analyzed. Self-contradictions of SST are demonstrated. A direct way to calculate scatter-ing probability without introduction of a finite volume is dis-cussed. Substantiation of SST in textbooks with the help of wave packets is shown to be incomplete. A complete theory of wave packets scattering on a fixed center is presented, and its similarity to the plane wave scattering is demonstrated. The neutron scattering on a monatomic gas is investigated, and several problems are pointed out. A catastrophic ambi-guity of the cross section is revealed, and a way to resolve this ambiguity is discussed