The deuteron-proton elastic scattering has been studied in the multiple scattering expansion formalism. The essential attention has been given to such relativistic problem as a deuteron wave function in a moving frame and transformation of spin states due to Wigner rotation. Parameterization of the nucleon-nucleon t-matrix has been used to take the off-energy shell effects into account. The vector, A y , and tensor, A yy , analyzing powers of the deuteron have been calculated at two deuteron kinetic energies: 395 MeV and 1200 MeV. The obtained results are compared with the experimental data. : 21.45.+v, 25.45.De, 24.10.Jv, 24.70.+s
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