  Motivated by the success of models based on chiral symmetry in NN
interactions we investigate self-interacting scalar, pseudoscalar and vector
meson fields and their impact for NN forces. We parametrize the corresponding
nonlinear field equations and get analytic wavelike solutions. A probability
amplitude for the propagation of particle states is calculated and applied in
the framework of a boson-exchange NN potential. Using a proper normalization of
the meson fields makes all self-scattering amplitudes finite. The same
normalization is able to substitute for the phenomenological form factors used
in conventional boson exchange potentials and thus yields an phenomenological
understanding of this part of the NN interaction. We find an empirical scaling
law which relates the meson self-interaction couplings to the pion mass and
self-interaction coupling constant. Our model yields np phase shifts comparable
to the Bonn B potential results and deuteron properties, in excellent agreement
with experimental data.
