Pion-Proton Scattering below 150 Mev. II

Values found for 30-Mev scattering at the two center-of-mass angles 116.8° and 155° are, respectively, for positive pions 0.849±0.048 and 1.098±0.075 mb ${\mathrm{sterad}}^{-1\mathrm{}}$, and for negative pions of the same energy 0.187±0.020 and 0.165±0.022 mb ${\mathrm{sterad}}^{-1\mathrm{}}$. Phase-shift analyses are made of recent published ${\pi }^{-}$ distributions in the above energy range and serve to furnish prescriptions for the low-energy behavior of the $T=\frac{1}{2}$ phases. Calculations of ${\sigma }^{--}$, ${\sigma }^{-0\mathrm{}}$, and ${{\sigma }_{\mathrm{total}}}^{-}$ at various energies agree with measurements found in the literature. An essential agreement is found between ${\pi }^{-}+p$ forward scattering amplitudes and a dispersion equation over this energy region.