Effect of Pion Absorption onπdElastic Scattering from Threshold to the Resonance Region

The first relativistic calculation of elastic $\pi d$ scattering from threshold to ${T_{\pi }}^{\mathrm{lab}}=260\mathrm{}$ MeV is presented, based upon a completely coupled set of integral equations. The effects of intermediate pion absorption as well as scattering through the nonpole part of the $\pi N{P}_{11}$ partial wave are consistently included and found to be important. A reasonable agreement with experiments is encouraging for further detailed studies.