  Recently, the experimental results by the angle-resolved photoemission
spectroscopy suggested that an additional strong nearest neighbor attraction in
the Hubbard model might be significant to describe the properties of doped
cuprates more accurately. The stripe-ordered patterns, formed by the
inhomogeneous distribution of spin, charge and pairing correlations in the
CuO$_{2}$ planes, is a known feature of doped cuprates. In this work, the
effect of the nearest neighbor attraction and the stripe phase are examined by
using the constrained path quantum Monte Carlo method within the repulsive
Hubbard model on two-dimensional square lattice. The ground state spin
correlations along and cross the stripe regions, and the $d$-wave pairing
correlation are calculated. It is found that the spin-spin correlation is the
highest when the interstripe region is fairly close to half-filling, and
$d$-wave superconducting correlation on neighboring sites could be enhanced in
the presence of stripe pattern and strong nearest neighbor attraction, which
reveals their crucial roles on superconductivity in the doped cuprates.
