The one solitary boson exchange potential (OSBEP) is used to evaluate observables of NN elastic scattering below pion threshold. In this approach, we use a nonlinear model of self-interacting mesons as a substitution for the commonly used phenomenological form factors. NN data support an empirical scaling law between the pion and other meson fields, which suggests a link to QCD and significantly reduces the number of parameters in the boson exchange potential. The analysis of np and pp observables distinguishes the model by its fit and few adjustable parameters. An outlook to apply OSBEP in πN systems is given.

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. PACS number(s): 13.75.Cs, 21.30.-x, 11.10.Lm Typeset using REVT E X

The notion of interacting elementary particles for low and medium energy nuclear physics is associated with definitions of potential operators which, inserted into a Lippmann-Schwinger equation, yield the scattering phase shifts and observables. In principle, this potential carries the rich substructure consisting of quarks and gluons and thus may be deduced from some microscopic model. In this spirit we propose a boson exchange potential from a nonlinear quantum field theory. Essentially, the meson propagators and form factors of conventional models are replaced by amplitudes derived from the dynamics of self-interacting mesons in terms of solitary fields. Contrary to deduction, we position the inversion approach. Using Gel'fand-Levitan and Marchenko inversion we compute local, energy-independent potentials from experimental phase shifts for various partial waves. Both potential models give excellent results for on-shell NN scattering data. In the off-shell domain we study both potential models in (p, pγ) Bremsstrahlung, elastic nucleon-nucleus scattering and triton binding energy calculations. It remains surprising that for * Contribution to the International Conference on Inverse and Algebraic Quantum Scattering Theory, Lake Balaton '96.

A unified description of NN and πN elastic scattering is presented in the framework of the one solitary boson exchange potential (OSBEP). This model already successfully applied to analyze NN scattering is now extended to describe πN scattering while also improving its accuracy in the NN domain. We demonstrate the importance of regularization of πN scattering amplitudes involving ∆ isobars and derivative meson-nucleon couplings, as this model always yields finite amplitudes without recourse to phenomenological form factors. We find an empirical scaling relation of the meson self interaction coupling constants consistent with that previously found in the study of NN scattering. Finally, we demonstrate that the OSBEP model does not contradict the soft-pion theorems of πN scattering.

No abstract