Pseudo-resonance behavior of partial waves in elastic pion scattering

Abstract

Glauber theory employing observed $\pi N$ phases is used to compute $\pi d$ differential cross sections for $E\lesssim 600$ MeV. Lacking experimentally extracted phase shifts, we used the model to construct model phases, which have been plotted in Argand diagrams. These display for many $J^{\pi }$ values a pseudo-resonance behavior. It is restressed that these do not correspond to resonances in a $B=2\mathrm{}$ system but simply reflect a $N^{*}$ in the weakly bound deuteron.