  We examine the static potential in the presence of flavors in the
perturbative backreacted D4/D8 system from localized D8 branes, focusing in
particular on the Sakai-Sugimoto model. For the case of long strings we find
the flavor corrections to the static potential which are of exponential form.
We then investigate shorter Wilson loops and express their energy analytically
in terms of the lengths of two neighboring Wilson loops. Moreover, we find that
the static force for all the cases in the backreacted background is reduced
compared to one in the probe limit, as expected due to screening effects. We
also compare the string world-sheets in the two backgrounds and find how they
get modified by the backreaction. Our results are supported by numerical
computations as well. Finally we discuss our results in comparison with the
lattice data and comment on the issue of physical scales which seem to lie at
the heart of the reason that obstructs our model at this level to fully
describe QCD.
