TRINUCLEON PROPERTIES WITH ONE-BOSON-EXCHANGE POTENTIALS

Abstract

This chapter focuses on trinucleon properties with one-boson-exchange (OBE) potentials. The properties of the bound three-nucleon systems, 3 H and 3 He, have been the subject of considerable interest. The theoretical formulations of the problem are now well established, and the numerical methods for solving the equations are such that the wave functions for these nuclei can be calculated using the best existing nucleon–nucleon potentials. Until recently, purely phenomenological potentials such as the Hamada–Johnston and the Reid soft-core (RSC) potentials gave the best fits to the two-nucleon scattering and bound state data. Most of the work on the three nucleon systems has assumed one of these potentials as the starting point of the calculation. This chapter presents the results of calculations with two OBE potentials, HM1 and EHM′, and the RSC potential. Implicit in the calculations are the assumption of charge independence in the nucleon–nucleon interaction and the neglect of the Coulomb potential, so that the wave functions of 3 H and 3 He are identical. The wave functions were obtained from a solution of Faddeev equations, in which only the 1 S 0 and 3 S 1 – 3 D 1 partial wave components of the potentials were assumed to be nonzero.