  The $\Xi N$ interaction is investigated in the quark mean-field (QMF) model
based on recent observables of the $\Xi^-+^{14}\rm{N}$ ($_{\Xi^-}^{15}\rm{C}$)
system. The experimental data about the binding energy of $1p$-state $\Xi^-$
hyperon in $_{\Xi^-}^{15}\rm{C}$ hypernuclei at KISO, IBUKI, E07-T011,
E176-14-03-35 events are conflated as $B_{\Xi^-}(1p)=1.14\pm0.11$ MeV. With
this constraint, the coupling strengths between the vector meson and $\Xi$
hyperon are fixed in three QMF parameter sets. Meanwhile, the $\Xi^-$ binding
energy of $1s$ state in $_{\Xi^-}^{15}\rm{C}$ is predicted as
$B_{\Xi^-}(1s)=5.66\pm0.38$ MeV with the same interactions, which are
completely consistent with the data from the KINKA and IRRAWADDY events.
Finally, the single $\Xi N$ potential is calculated in the symmetric nuclear
matter in the framework of QMF models. It is $U_{\Xi N}=-11.96\pm 0.85$ MeV at
nuclear saturation density, which will contribute to the study on the
strangeness degree of freedom in compact star.
