The one-band extended Hubbard model in two dimensions near band-filling 1/2 is solved in the fluctuation exchange approximation, including the long-range ( $1/r$) part of the Coulomb interaction, up to 4th-neighbor distance. Our results suggest that d_x²-y² pairing in the Hubbard model is robust against the inclusion of long-range Coulomb interactions with moderate 1st-neighbor repulsion strength V₁. d_x²-y² pairing is suppressed only at large V₁ ( 0.25U--0.4U), due to incipient charge density wave instabilities.
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Esirgen et al. (1999) studied this question.