Two-Body Forces and Nuclear Saturation. III. Details of the Structure of the Nucleus

Abstract

The characteristics of particle motion in the nuclear medium have been examined in detail. The origin of the strong dependence of the potential energy on the nucleon momentum is discussed and an equivalent formulation is exhibited in which a uniform and constant potential is assumed but the nucleon moves with markedly reduced mass. The determination of the potential is shown to lead to a self-consistency problem which is to some extent similar to that appearing in the Hartree method of self-consistent fields. Solution of this problem shows that the self-consistency requirements impose severe restrictions on the solution and have a strong stabilizing influence in the saturation problem. The volume energy of the nucleus has been evaluated by using two-body potentials closely equivalent to a combination of central and tensor forces which agree with the low-energy parameters and predict scattering correctly up to 90 Mev. The result agress closely with the observed values of energy and density.