  In this article, we take the scalar diquark and antidiquark operators as the
basic constituents, construct the
$C\gamma_5\otimes\stackrel{\leftrightarrow}{\partial}_\mu\otimes \gamma_5C$
type tetraquark current to study the $Y(10750)$ with the QCD sum rules. The
predicted mass $M_{Y}=10.75\pm0.10\,\rm{GeV}$ and width $\Gamma_Y=
33.60^{+16.64}_{-9.45}\,{\rm{MeV}}$ support assigning the $Y(10750)$ to be the
diquark-antidiquark type vector hidden-bottom tetraquark state, which has a
relative P-wave between the diquark and antidiquark constituents.
