Determination of the Nucleon-Nucleon Elastic Scattering Matrix. II. Phase-shift Analyses of Experiments Near 95, 142, 210, and 310 MeV

Abstract

Phase-shift analyses have been carried out for ($p, p$) and ($n, p$) experiments at energies near 95, 142, 210, and 310 MeV. Analyses both of ($p, p$) data and of combined ($p, p$) plus ($n, p$) data were made at these energies. Attention was concentrated in all cases on the Stapp-type 1 solution, the objective being to obtain the best possible values for the phase shifts from the existing nucleon-nucleon data. Error matrices were calculated for all solutions, and determinations of the pion-nucleon coupling constant $g^2$ were carried out. It was found that reasonably consistent values for $g^2$ can be obtained if a suitable selection of the phenomenological phase shifts is made. The $T=1\mathrm{}$ phase shifts determined from ($p, p$) data only were found to be in good agreement with the $T=1\mathrm{}$ phase shifts obtained from combined ($p, p$) plus ($n, p$) data, thus verifying the gross features of the charge independence. A previous article, paper I of this series, gave the results of phase-shift analyses near 142 MeV. Since the publication of I, some changes in the data have occurred, and some improvements in the method of phase-shift analysis have been made. Hence new phase-shift values at 142 MeV are included here that supersede the values listed in I.