Self-Bound Finite System

Abstract

Starting from the N (2 2)-body system, formulas for calculating the bound state energy and the wave functions of any M(>N) -body system is given in a compact form. By employing this method, we can obtain all the correct information about any system consisting of many particles. It is, of course, especially suited for solving a-few-body problems. Two aspects of this method should be emphasized: Firstly, one can deal with the scattering problem and the bound state problem on the same basis. Secondly, this treatment leaves no ambiguity about the freedom of the center of mass motion of the total system. The approximation which leads to the single particle model is discussed. The effective single particle potential is derived under the liN-approximation for the strong coupling limit. It takes a form which is similar to the effective single particle potential appeared in the theory of infinite matter.