Relativistic description ofπdelastic scattering in the (3,3) resonance region

The $\pi d$ elastic scattering observables are calculated in the 142 to 256 MeV energy range within a relativistic three-body theory without $\pi$ absorption. The nonresonant $\pi N$ partial waves are included perturbatively to an excellent degree of accuracy. Various $\mathrm{NN}$ tensor forces are elaborated at different levels of quality. The sensitivity of elastic differential cross sections and polarization parameters to the description of the $\mathrm{NN}$ and $\pi N$ channels is investigated. The importance of using a realistic deuteron wave function is demonstrated.