On a specific interaction of quantum particles

The quantum problem of two particles in a small region of dimensions comparable to those of an existing background interaction is examined. To this purpose, one uses the result that quantum phenomena in the Euclidean formulation of the theory are due to a stochastic spacetime background interaction, whose essence is the time derivative of the Wiener process. The problems of calculating both the transition probability and the path integral for that system are then solved. The specific interaction taking place in this case is likely to play an important role in the quantum description of nucleons.