Elastic $\pi^{+}p$ and $\pi^{+}\pi^{+}$ scattering at LHC

Abstract

We discuss the possibility of measuring leading neutron production at the LHC. These data could be used to extract from it $\pi^+ p$ and $\pi^+\pi^+$ cross-sections. In this note we give some estimates for the case of elastic cross-sections and discuss related problems and prospects.