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• W2039341462 abstract "Energy-dependent and energy-independent phase-shift analyses are given for ($p,p$) and ($n,p$) experiments from 0.5 to 450 MeV. The 2066 data include 1076 ($p,p$) and 990 ($n,p$) values. The theoretical analysis has been extended to include magnetic-moment corrections, separate $^{1}S_{0}$ phases for ($p,p$) and ($n,p$) scattering, $S$-wave vacuum-polarization effects, and inelastic effects due to pion production with isotopic spin $I=1$ (down to threshold). Precision fits to the data are obtained over the whole energy range. The least-squares sum ${ensuremath{chi}}^{2}$ is 1126 for a 26-parameter energy-dependent fit to the ($p,p$) data. The $M$ value is 1.046. The value for the pion-nucleon coupling constant obtained from this solution is ${g}^{2}=14.43ifmmodepmelsetextpmfi{}0.41$. The $I=1$ 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 ($n,p$) data. The first solution (unconstrained) has somewhat anomalous values for ${ensuremath{epsilon}}_{1}$ and $^{1}P_{1}$ at low energies. The second solution has a constraint that forces ${ensuremath{epsilon}}_{1}$ to positive values at low energies. When this is done, the $^{1}P_{1}$ phase also changes to values expected from theory. The values of ${ensuremath{chi}}^{2} (M)$ from the ($n,p$) data for these two solutions are 1100 (1.11) and 1138 (1.15), respectively; thus both solutions are statistically acceptable. The ($n,p$) 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 $I=0$ 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 ($n,p$) data. Measurement of the ratio $frac{ensuremath{sigma}({180}^{ensuremath{circ}})}{ensuremath{sigma}({90}^{ensuremath{circ}})}$ for ($n,p$) scattering at 25 or 50 MeV to an accuracy of 1% would help to remove the ambiguity in the ${ensuremath{epsilon}}_{1}$ and $^{1}P_{1}$ phases. The use of a separate $^{1}S_{0}$ phase for ($n,p$) scattering eliminated the difficulty we formerly had in fitting to ($n,p$) total cross sections below 100 MeV, and especially at very low energies. The addition of $S$-wave vacuum-polarization effects permitted a precision fit to the lowest-energy ($p,p$) differential-cross-section data. The combined ($p,p$) plus ($n,p$) 1---450-MeV energy-dependent solution, with 52 parameters representing 27 elastic phases and one inelastic phase, has ${ensuremath{chi}}^{2}=2226$ for 2066 data. The $M$ value is 1.077." @default.
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• W2039341462 title "Determination of the Nucleon-Nucleon Scattering Matrix. X. (<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:math>) and (<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:math>) Analysis from 1 to 450 MeV" @default.
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• W2039341462 doi "https://doi.org/10.1103/physrev.182.1714" @default.
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