Energy Dependence and Absorption in the Use of Recoil Polarization fromπ−−pScattering

Abstract

The use of recoil polarization to determine angular momentum assignments for the second and third resonances in ${\ensuremath{\pi}}^{\ensuremath{-}}\ensuremath{-}p$ scattering is found to be qualitatively unaffected by the presence of absorption in the resonant states. The energy dependence of the polarized cross section in the vicinity of a resonance is shown to give some information about both the background and the resonant state. The polarized cross section is expected to increase across a resonance if $L=J+\frac{1}{2}$ and decrease if $L=J\ensuremath{-}\frac{1}{2}$.