A simplified procedure based on the Resonating Group Approximation is proposed to obtain the integral equations for three- and four-nucleon problems.Faddeev three-nucleon approach has been extended to obtain theFaddeev-Yakubovsky (FY) model of four nucleons taking into account of their spin and isospin in two-channel resonating group approximation. In this approximation we consider a completely antisymmetric wave function which can be written as the clustering of d+d and n+He3 (or p+H3) systems with antisymmetric spin-isospin states. The two nucleon interaction is assumed to be of the separableYamaguchi form in3s1 and1s0 states. The equations for the states with quantum numbersS=2, 1, 0;T=0 are obtained. It is shown that the FY equations reduce to a set of one-dimensional coupled integral equations with the kernels containing the functions of two- and three-nucleon problems. By this conjecture one can treat few-body problems involving any number of bound subsystems.

V. K. Sharma

Papers

Resonating group model for few-nucleon problems