On Mathematical Foundations of Quantum Collisions and Nuclear Reaction

In this book there are presented the results of study the non-relativistic non-unitary S-matrix for unknown central, non-central (tensor) and violating the space parity T-invariant interactions inside a sphere of small radius r < a , enclosed in the external range (r > a) by the centrifugal barrier and rapidly decreasing potentials for one-channel and many-channel scattering. These results helped manifest some physical phenomena and effects: phenomena of enhancement of the parity violation and phenomena of time resonances formed from the strongly overlapped energy resonances in the high-energy many-channel nuclear reactions. Obtained results open the interesting perspective of the continuation of the research of the analytic properties of the S-matrix with further search of new physic effects in microscopic quantum collisions.