NN Potentials from Nonlinear Quantum Field Theory

Abstract

We investigate self-interacting scalar, pseudoscalar and vector meson fields and their influence on NN interactions. Due to the self--interaction one has to solve nonlinear field equations which allow solitary wave solutions. A propability amplitude for the propagation of these solutions is calculated which can be applied in a One-Boson-Exchange Potential (OBEP). Using proper normalization as an alternative to the usual renormalization scheme one obtains amplitudes with the same momentum dependence as the conventional Feynman-propagators multiplied with the form factors of the Bonn-B OBEP. From this the usage of form factors might be replaced by the application of solitary wave exchange. In addition the parameters entering the different meson propagators show a connection in form of a simple scaling law which relates all parameters to the pion self-interaction coupling constant.