A VARIATIONAL CALCULATION OF THE N-N POTENTIAL IN A SIMPLE FIELD MODEL

A nonperturbative calculation is carried out for the interaction poten tial of spinless static nucleons. The potential is determined as the a verage value of the total ground-state energy of the model under inves tigation. The ground state is constructed, by minimizing the energy av eraged over a trial state chosen in a special way. This state is obtai ned by applying a sequence of canonical transformations to meson vacuu m. The resulting potential ensures the existence of a bound state of t wo nucleons, i.e., the deuteron.