A model of a deuteron-nucleus (dA) optical potential is developed. The real and imaginary parts of this potential were determined from the calculation of the mass operator in the respective Green's function by perturbation theory on the basis of effective nuclear-density-dependent nucleon-nucleon (N N ) Skyrme forces and with allowance for the rearrangement potential. Radial and energy dependences of various components of the dA potential were studied in the calculations with various versions of Skyrme forces. The present model was applied to analyzing differential cross sections for elastic deuteron scattering on nuclei over a broad range of mass numbers at various energies and total cross sections for dA reactions. A reasonable description of respective experimental data was obtained.1. At the present time, much attention is being given to developing models of microscopic optical potentials for describing nuclear scattering. In such investigations, one usually employs various effective nucleon-nucleon (NN ) forces and realistic nuclear densities, most frequently applying various approaches of the folding-model type (see, for example, [1,2]). In [3-9], a microscopic optical potential of nucleon-nucleus (NA) interaction is constructed on the basis of effective Skyrme forces, which are successfully applied to describing the structure of nuclei. The approach employed in [3-9] relies on the fact that, according to many-body theory, the optical NA potential coincides with the mass operator for the single-particle Green's function [10]. In [3][4][5][6], the real and imaginary parts of the microscopic optical potential for NA interaction were found in the approximations of nuclear matter and a local density on the basis of perturbation theory. In [7-9], this model was refined by employing the real part of the microscopic optical potential in the form of a HartreeFock potential for finite nuclei and with allowance for terms that depend on the gradients of nucleon densities and for the spin-orbit potential and, in calculating the imaginary part of the microscopic optical potential, by applying the dispersion relation with a Hartree-Fock potential for finite nuclei as well. It † Deceased.should be noted that, in constructing the microscopic optical potential, the rearrangement (saturation) potential [11], which is associated with the nucleardensity dependence of effective forces, was taken into account in [5][6][7][8][9], in contrast to what was done in [3,4], and the importance of taking it into account was shown there. Yet another important distinction was that, in [5-9], self-consistent calculations of the NA microscopic optical potential and the nucleon densities in the target nucleus were used, while, in [3,4], phenomenological nucleon densities were taken. The analysis of neutron-and proton-nucleus (nA and pA) scattering in [7-9] led to a satisfactory description of differential cross sections and analyzing powers for the elastic scattering of intermediate-energy nucleons on various target nuclei and total reaction ...