Wide-Angleπ−p→π0nData and theρTrajectory

Abstract

New data on the ${\ensuremath{\pi}}^{\ensuremath{-}}p\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}n$ differential cross section in the wide-angle region are compared with an asymptotic form of the Regge amplitude valid in that limit. The $\ensuremath{\rho}$ trajectory is approximately linear in $t$ out to $t\ensuremath{\approx}\ensuremath{-}7$ Ge${\mathrm{V}}^{2}$, but shows indications of preferring a less steep dependence such as ${\ensuremath{\alpha}}_{\frac{1}{2}}(t)=2.11\ensuremath{-}2.65{(\ensuremath{-}t)}^{\frac{1}{2}}$ in the region $2\ensuremath{\lesssim}\ensuremath{-}t\ensuremath{\lesssim}7$ Ge${\mathrm{V}}^{2}$.