Evidence for Linear Extrapolations of Baryon-Exchange Trajectories through Particle Mass Spectra

Abstract

The $N_{\alpha }$ and ${\Delta }_{\delta }$ Regge-trajectory functions in the scattering region are obtained from analysis of new data on backward ${\pi }^{\pm }p$ elastic scattering. At small $\mathrm{}\left|u\right|\mathrm{}$, the intercepts and slopes of both trajectories agree with straight-line extrapolations $\alpha =a+bu$ through the baryon masses. In the large $\mathrm{}\left|u\right|\mathrm{}$ region, the trajectories appear to be leveling off.