  Using a total of 11.0 fb$^{-1}$ of $e^{+}e^{-}$ collision data with
center-of-mass energies between 4.009 GeV and 4.6 GeV and collected with the
BESIII detector at BEPCII, we measure fifteen exclusive cross sections and
effective form factors for the process
$e^{+}e^{-}\rightarrow\Xi^{-}\bar\Xi^{+}$ by means of a single baryon-tag
method. After performing a fit to the dressed cross section of
$e^{+}e^{-}\rightarrow\Xi^{-}\bar\Xi^{+}$, no significant $\psi(4230)$ or
$\psi(4260)$ resonance is observed in the $\Xi^{-}\bar\Xi^{+}$ final states,
and upper limits at the 90\% confidence level on $\Gamma_{ee}\mathcal{B}$ for
the processes $\psi(4230)$/$\psi(4260)\rightarrow\Xi^{-}\bar\Xi^{+}$ are
determined. In addition, an excited $\Xi$ baryon at 1820 MeV/$c^{2}$ is
observed with a statistical significance of 6.2 $\sim$ 6.5$\sigma$ by including
the systematic uncertainty, and the mass and width are measured to be $M =
(1825.5 \pm 4.7 \pm 4.7)$~MeV/$c^{2}$ and $\Gamma = (17.0 \pm 15.0 \pm
7.9)$~MeV, which confirms the existence of the $J^{P}=\frac{3}{2}^{-}$ state
$\Xi(1820)$.
