A NEW METHOD FOR SOLUTION OF REACTION PROBLEMS IN QUANTUM-MECHANICS

A method for reaction calculations is outlined in which it is not nece ssary to obtain the complicated continuum wave function from the posit ive-energy Schrodinger equation. Instead, one must solve a negative-en ergy Schrodinger-type equation with a localized source term. Its solut ions are localized. They are similar to bound-state wave functions and are much easier to obtain, since here one does not need to impose lar ge-distance boundary conditions. All the 2-->N reaction amplitudes are expressed in a simple way in terms of these solutions. In calculating inclusive cross sections of perturbation-induced reactions the diffic ult summation over the final states is avoided as well. Some simple ap plications of the method and its present status are discussed.