Bound-state energy of a three-boson system

Abstract

We are reporting here the results of some calculations made with Faddeev equations for the simplest three-body system: the nonrelativistic three-boson system. Our aim is to study the J= 0 bound-state energy spectrum of the system formed by three structureless alpha-particles (α) and compare it as a reference with the low-lying J = 0 states of the nucleus <SUP>12</SUP>C(<SUP>2</SUP>). The nuclear interaction between the alphas is represented by pair-wise (Vαα) nonlocal separable potentials. We are, therefore, mainly concerned with the comparison of the different descriptions of the low-energy properties of the 3α system as obtained with different nuclear potentials Vαα.