High-Energy Quasielastic Proton-Proton Scattering and Final-State Interaction

Abstract

The explanation by Drell and Hiida of the inelastic bump, observed by Cocconi et al., in high-energy proton-proton scattering is shown to be inadequate for two reasons: (i) The $g\left(t\right)\mathrm{}\equiv \frac{\left[\frac{d\sigma (s_1, t)}{d\Omega }\right]}{\left[\frac{d\sigma (s_1, 0)}{d\Omega }\right]}$ chosen by Drell and Hiida gives too large wide-angle $\pi N$ scattering, while a calculation consistent with wide-angle $\pi N$ scattering gives a differential cross section smaller by a factor of five than the experimental cross section; (ii) the primary process in the Drell-Hiida mechanism gives much too small $D$- and $F$-wave amplitudes, so that even strong resonant final-state interactions in these states do not give any appreciable structure to the differential cross section. A formulation for the final-state interaction between the pion and the recoil nucleon is given, and it is shown that the nonresonant final-state scattering in $S$ and $P$ waves gives large enhancement.