Title: Coulomb repulsion of holes and competition between d_{x^2-y^2}-wave and s-wave parings in cuprate superconductors,
Abstract: The effect of the Coulomb repulsion of holes on the Cooper instability in an
ensemble of spin-polaron quasiparticles has been analyzed, taking into account
the peculiarities of the crystallographic structure of the CuO$_2$ plane, which
are associated with the presence of two oxygen ions and one copper ion in the
unit cell, as well as the strong spin-fermion coupling. The investigation of
the possibility of implementation superconducting phases with d-wave and s-wave
pairing of the order parameter symmetry has shown that in the entire doping
region only the d-wave pairing satisfies the self-consistency equations, while
there is no solution for the s-wave pairing. This result completely corresponds
to the experimental data on cuprate HTSC. It has been demonstrated analytically
that the intersite Coulomb interaction does not affect the superconducting
d-wave pairing, because its Fourier transform $V_q$ does not appear in the
kernel of the corresponding integral equation.