The application of negative imaginary arrangement decoupling potentials to reactive scattering: Conversion of a reactive scattering problem into a bound-type problem

In this work is presented a time-independent treatment of a reactive system employing negative imaginary decoupling potentials. We discuss two aspects: (a) we show how with the help of these potentials a reactive scattering problem is converted into a bound-type problem, and (b) we show that a reactive treatment can be carried out entirely in the products arrangement channel without the use of the reagents arrangement channel. By doing that we are able to obtain exact reactive state-to-state S matrix elements or transition probabilities.