Location of a SecondaryρRegge Pole in the Reactionπ−p→π0n

Abstract

The trajectories and residues of $\rho$ and ${\rho }^{\prime }$ Regge poles are determined in the range $0>~t>~-1.0\mathrm{}$ ${(\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^2$ from a simultaneous fit to (i) continuous-moment sum rules, using $\pi N$ phase shifts up to 2 GeV/c, and (ii) ${\pi }^{-}\rho \to {\pi }^{0}n$ scattering cross section data above 4 GeV/c. The ${\rho }^{\prime }$ trajectory is found to be roughly parallel to the $\rho$ and about a half-unit lower. The ${\pi }^{-}\rho \to {\pi }^{0}n$ polarization is correctly predicted in magnitude and sign.