Analysis of the low-energy ${\pi }^{\pm }p$ differential cross sections of the CHAOS Collaboration

Abstract

This paper presents the results of an analysis of the low-energy ${\pi }^{\pm }p$ differential cross sections, acquired by the CHAOS Collaboration at TRIUMF \cite{chaos,denz}. We first analyse separately the ${\pi }^{+}p$ and the ${\pi }^{-}p$ elastic-scattering measurements on the basis of standard low-energy parameterisations of the $s$- and p-wave $K$-matrix elements. After the removal of the outliers, we subject the truncated ${\pi }^{\pm }p$ elastic-scattering databases into a common optimisation scheme using the ETH model \cite{glmbg}; the optimisation failed to produce reasonable values for the model parameters. We conclude that the problems we have encountered in the analysis of these data are due to the shape of the angular distributions of their ${\pi }^{+}p$ differential cross sections.