Scattering theory for supersymmetric Hamiltonian and supersymmetry of nuclear interactions

Scattering theory for a supersymmetrical Hamiltonian is developed and the general structure of corresponding $S$-matrix is described. Connections between wave functions of continuum spectrum are obtained for equivalent quantum systems which are the components of the supersymmetrical multiplet. The possibility of supersymmetrical treatment of the interaction of two particles with half-integer spins is discussed. On this way, the supposed super symmetry of $NN$ and $N\bar N$-scattering is investigated in the one-pion-exchange approximation.