Semiempirical Generalized One-Boson-Exchange Potentials

Abstract

Four generalized one-boson-exchange-potential (GOBEP) models are examined. The first is a highly realistic model which includes only well-established mesons and which takes account of the resonance width of the isoscalar scalar $\ensuremath{\epsilon}$ meson. Two others are adaptions of this model, each containing a phenomenological term to help improve the fits to high-energy phase shifts. The final model does not assume charge independence of the nuclear force. Meson-nucleon form factors derived from a generalized field theory are used throughout, and a new fitting procedure is introduced which makes allowances for the uncertainties in the theoretical model. The models are compared and evaluated in terms of both the $F$ test for a fit to the phase shifts and the second-derivative matrix method for a fit to observable data. Our basic intention is to provide realistic GOBEP models suitable for nuclear-structure and nuclear-matter calculations.