3-BODY HALOS .2. FROM 2-BODY TO 3-BODY ASYMPTOTICS

The large distance behavior of weakly bound three-body systems is investigated. The Schrödinger equation and the Faddeev equations are reformulated by an expansion in eigenfunctions of the angular part of a corresponding operator. The resulting coupled set of effective radial equations are then derived. Both two- and three-body asymptotic behavior are possible and their relative importance is studied for systems where subsystems may be bound. The system of two nucleons outside a core is studied numerically in detail and the character of possible halo structure is pointed out and investigated. © 1994 The American Physical Society.