Elastic \bar p d scattering and total \bar p d cross sections

Accepted

Elastic $\bar p d$ scattering is studied within the Glauber theory based on the single- and double $\bar p N$ scattering mechanisms. The full spin dependence of the elementary $\bar p N$ 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 $pd\to pd$ scattering process. Predictions for differential cross sections and the spin observables $A_y^d$, $A_y^{\bar p}$, $A_{xx}$, $A_{yy}$ are presented for antiproton beam energies between 50 and 300 MeV, using amplitudes generated from the $\bar N N$ 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.