The purpose of the present paper is to attempt the description of the properties of a particle system consisting of protons and neutrons with the aid of a non-linear Schrödinger equation. The non-linearity of the equation is due to the fact that the interaction between the particles is allowed to depend on the wave-function of the system. Thus the interaction between more than two particles leads to many-body forces by definition. A more remote purpose of this concept is to interpret the saturation properties and shell structure of the nucleus. The present paper, however, is restricted to showing the consequences and results in the treatment of the ground state of the deuteron following from the assumption of a non-linear equation.
ASJC Scopus subject areas
- Nuclear and High Energy Physics