Implications of various spin-one relativistic wave equations for intermediate-energy deuteron-nucleus scattering

Various relativistic treatments are applied to deuteron-nucleus elastic scattering at intermediate energies. There are various possibilities for spin-one wave equations. Here we have considered three of them, the Kemmer-Duffin-Petiau, Proca, and Weinberg equations. Second-order equations are obtained from each using a similar set of approximations. Elastic-scattering observables including the differential cross section, and the vector and tensor analyzing powers are calculated using all three equations. The different predictions are compared with each other and with experimental data for 400 MeV ${}_{}{}^{58}{}_{}{}^{}\mathrm{Ni}$(d,d${)}^{58}$Ni and 700 MeV ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$(d,d${)}^{40}$Ca. We find that within the approximations made and for the assumed interactions there are no significant differences between the three sets of predicted observables.