Determination of Wolfenstein Parameters in NN Scattering Directly from Observables

Abstract

The Wolfenstein parameters are for the first time obtained analytically in terms of observables. It is shown that a set of ten nucleon-nucleon (NN) observables, which contains polarization observables together with the differential cross section, determines uniquely the solution for Wolfenstein parameters except for a common insignificant phase. Using such analytical solutions one expects to get more accurate theoretical parameters for the potential models by χ2 fitting to the resulting Wolfenstein parameter data than the standard manner of a phase-shift analysis. An example of fixing a unique set of physical solutions for the Wolfenstein parameters from a set of 16 solutions based on nine observables alone and adding one more observable is illustrated using pseudo data generated by the CD Bonn potential. © 2011 The Author(s).