Singular cores in the three-body problem. III. Unique equations
D. D. Brayshaw
Phys. Rev. C 13, 1835 (1976) - Published 1 May, 1976
Three-particle scattering theory is reexamined for interactions which contain singular cores in a finite number of two-body partial waves. It is shown that the Faddeev equations do not possess a unique solution for the corresponding matrix, and hence, cannot be used directly to examine "realistic" singular core models of the interaction. For the special case of a pure boundary condition model, alternative one-dimensional equations are derived based on the Schrödinger and Faddeev representations. These are shown to be completely equivalent, and to uniquely specify the three-body observables. The Faddeev version is shown to be a special case of the author's boundary condition formalism. Equations suitable for realistic models which include potential tails are presented.
NUCLEAR REACTIONS Three-body equations, singular core interactions.