Determination of the Nucleon-Nucleon Scattering Matrix. X. () and () Analysis from 1 to 450 MeV
- 25 June 1969
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 182 (5), 1714-1728
- https://doi.org/10.1103/physrev.182.1714
Abstract
Energy-dependent and energy-independent phase-shift analyses are given for () and () experiments from 0.5 to 450 MeV. The 2066 data include 1076 () and 990 () values. The theoretical analysis has been extended to include magnetic-moment corrections, separate phases for () and () scattering, -wave vacuum-polarization effects, and inelastic effects due to pion production with isotopic spin (down to threshold). Precision fits to the data are obtained over the whole energy range. The least-squares sum is 1126 for a 26-parameter energy-dependent fit to the () data. The value is 1.046. The value for the pion-nucleon coupling constant obtained from this solution is . The scattering matrix is quite accurately and uniquely determined over the whole energy range. Two 26-parameter energy-dependent solutions are given for the fit to the () data. The first solution (unconstrained) has somewhat anomalous values for and at low energies. The second solution has a constraint that forces to positive values at low energies. When this is done, the phase also changes to values expected from theory. The values of from the () data for these two solutions are 1100 (1.11) and 1138 (1.15), respectively; thus both solutions are statistically acceptable. The () solution at 425 MeV has been greatly improved by the addition of precise triple-scattering data from the Chicago-Wisconsin group. Comparison of energy-dependent and energy-independent solutions shows that the scattering matrix is fairly accurately determined at 142, 210, and 425 MeV, but at 25, 50, 95, and 330 MeV the solution is not definitive, because of a lack of () data. Measurement of the ratio for () scattering at 25 or 50 MeV to an accuracy of 1% would help to remove the ambiguity in the and ...
Keywords
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