COMPUTATIONAL METHODS IN FEW BODY SYSTEMS

Abstract

Publisher Summary This chapter describes the computational methods in few-body systems. In the variational calculations, some basis set of states such as the harmonic oscillator or hyperspherical basis is used for the variational wave function. The results suggest that as long as the binding energies of the tri-nucleon system and the charge form factors at low and intermediate momentum transfer are reproduced from a dynamical calculation, the resulting wave functions will not be very sensitive to the choice of the potential. The chapter presents the results for the triton and alpha particle for various realistic two-nucleon interactions using a new type of trial wave functions with two-nucleon correlations built in. For the Hamada–Johnston potential, a binding energy was found of 6 MeV to be compared with the earlier results of 6.5 MeV. In the momentum representation, the Faddeev equations are in general a coupled set of linear integral equations in two continuous variables. Because of the fact that the region of integration is dependent on the initial variables and the huge dimensionality of the resulting matrix after discretization of the integral equations, the usual matrix inversion procedures work in general very poor or not at all.