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Abstract

The angular distribution of pions scattered by liquid hydrogen has been studied using the collimated pion beams from the Chicago synchrocyclotron. Differential cross sections have been measured for the laboratory angles 45\ifmmode^\circ\else\textdegree\fi{}, 90\ifmmode^\circ\else\textdegree\fi{}, and 135\ifmmode^\circ\else\textdegree\fi{} for positive pions of energies 78 Mev, 110 Mev, and 135 Mev, and for negative pions of 120 Mev and 144 Mev. For negative pions, separate results were obtained for the elastic scattering and for the charge exchange scattering. The scattering of positive pions and charge exchange scattering of negative pions show a larger intensity in the backward direction. The elastic scattering of negative pions is mostly forward.The results have been interpreted in terms of phase shift analysis on the assumption that the scattering is mainly due to states of isotopic spins $\frac{3}{2}$ and \textonehalf{} and angular momenta ${s}_{\frac{1}{2}}$, ${p}_{\frac{1}{2}}$ and ${p}_{\frac{3}{2}}$.The experimental results are represented quite accurately by the following phase shifts expressed in degrees for the angular momentum states in the order indicated above: at 120 Mev, phase shifts \ifmmode\pm\else\textpm\fi{}15, \ifmmode\pm\else\textpm\fi{}4, \ifmmode\pm\else\textpm\fi{}30 for isotopic spin $\frac{3}{2}$ and \ifmmode\pm\else\textpm\fi{}9, \ifmmode\pm\else\textpm\fi{}3, \ifmmode\pm\else\textpm\fi{}2 for isotopic spin \textonehalf{}; at 135 Mev, \ifmmode\pm\else\textpm\fi{}14, \ifmmode\pm\else\textpm\fi{}5, \ifmmode\pm\else\textpm\fi{}38 for isotopic spin $\frac{3}{2}$ and \ifmmode\pm\else\textpm\fi{}10, \ifmmode\pm\else\textpm\fi{}5, \ifmmode\pm\else\textpm\fi{}2 for isotopic spin \textonehalf{}.

Angular Distribution of Pions Scattered by Hydrogen

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