Four-Body Faddeev-Yakubovsky Calculation Using the Finite Range Expansion Method

Abstract

The finite range expansion method [Y. Koike, Prog. Theor. Phys. 87 (1992), 775], which gives well converged solutions of the three-body Faddeev equations, is extended to the three-body and two-two subsystems in order to solve the four-body Faddeev-Yakubovsky equations. A feasibility study is carried out to check the convergence in a four-nucleon system at 3.45 MeV below the four-body break-up threshold, which is in between the 2N −2N and 2N − N − N break-up thresholds. We obtain a converged phase shift and inelasticity parameter to 6 digits for 3N + N elastic scattering.