Models for Meson-Deuteron Scattering in the Resonant Region

Abstract

A model is presented which extends the Glauber-theory description of meson scattering from deuterons to regions in which the meson-nucleon cross section varies rapidly or resonates. A Watson form of multiple-scattering theory is employed to derive a model which includes effects caused by the nucleons' Fermi momenta, nonforward intermediate scattering, and off-energy-shell scattering. It is concluded, after a numerical analysis, that the Glauber theory itself could generate the large oscillations in ${〈r^{-2\mathrm{}}〉}_d$ reported in the analysis of ${\pi }^{+}d$ data around 1 $\frac{\mathrm{GeV}}{c}$ and could introduce small peaks into the deduced $I=0\mathrm{}$ channel of the $K^{+}n$ cross section. Nevertheless, conclusions drawn by following the usual folding procedures are not altered significantly by this model, for the $K^{+}d$ data of Cool et al.