Determination of the Nucleon-Nucleon Elastic Scattering Matrix. VI. New Results near 50 MeV

Abstract

Our previous phase-shift analysis at 50 MeV has been improved by increasing the completeness of the data set. Since no new data have become available at this energy, it was necessary to expand the range of energies. We now obtain reasonable values for the ${\epsilon }_1$ phase shift and for the pion-nucleon coupling constant $g^2$. Certain ways of handling the data result in an ambiguity in the $T=0\mathrm{}$ phase shifts, which we have explored in detail. We conclude that no precise, reliable values for the $T=0\mathrm{}$ phases can as yet be derived from existing data near 50 MeV, although the present solutions must be in the neighborhood of the correct solution.