Baryon-baryon scattering in a one-boson-exchange-potential approach. I. Nucleon-nucleon scattering

Abstract

From a combined analysis of nucleon-nucleon and hyperon-nucleon scattering with a one-boson-exchange-potential-model the $\mathrm{NN}$ results are presented. The model consists of local potentials due to exchanges of members of the pseudoscalar and vector meson nonets and the scalar meson $\ensuremath{\epsilon}$ taken as a unitary singlet. Effects of the large widths of the $\ensuremath{\epsilon}$ and $\ensuremath{\rho}$ meson are included. The Schr\"odinger equation is solved in configuration space with phenomenological hard-core potentials at short distances. The coupling constants and hard-core radii are determined in a fit using the $\mathrm{NN}$ phase-shift analysis of the Livermore group up to 330 MeV laboratory kinetic energy and the low-energy parameters. The $\mathrm{NN}$ phase shifts are described well with $\frac{{\ensuremath{\chi}}^{2}}{\mathrm{data}}=2.4$ (as good as the purely phenomenological potentials) and good values are obtained for the scattering lengths, effective ranges, and deuteron parameters.