The action as a differential n-form and the analytic deduction of the nuclear potentials

Abstract

All the natural forces act through potential fields. Both, the electromagnetic vector potential and the gravitational potential of the general relativity are usually deduced starting from general analytic considerations. However, the nuclear potentials of the weak and strong forces are calculated experimentally, leading to what is known as phenomenological potentials. That is to say, expressions requiring adjustments according to the experimental results. This fact may change if we consider the action as a differential form. In this case it is possible to deduct some potentials for the nuclear forces departing from general analytic considerations.