Elasticp¯dscattering and totalp¯dcross sections

Abstract

Elastic $\overline{p}d$ scattering is studied within the Glauber theory based on the single- and double $\overline{p}N$ scattering mechanisms. The full spin dependence of the elementary $\overline{p}N$ scattering amplitudes is taken into account and both the $S$- and $D$-wave components of the deuteron are considered. The treatment of the spin dependence is done in a (properly modified) formalism developed recently by Platonova and Kukulin for the $pd\ensuremath{\rightarrow}pd$ scattering process. Predictions for differential cross sections and the spin observables ${A}_{y}^{d}$, ${A}_{y}^{\overline{p}}$, ${A}_{xx}$, ${A}_{yy}$ are presented for antiproton beam energies between 50 and 300 MeV, using amplitudes generated from the $\overline{N}N$ interaction model developed by the J\"ulich group. Total polarized cross sections are calculated utilizing the optical theorem. The efficiency of the polarization buildup for antiprotons in a storage ring is investigated.