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We present a QCD sum rule analysis for the newly observed resonance$X_{c}(3250)$ by assuming it as a $D_{0}^{*}(2400)N$ molecular state.Technically, contributions of operators up to dimension 12 are included in theoperator product expansion (OPE). We find that it is difficult to find theconventional OPE convergence in this work. By trying releasing the rigid OPEconvergence criterion, one could find that the OPE convergence is still undercontrol in the present work and the numerical result for $D_{0}^{*}(2400)N$state is $3.18\pm0.51 {GeV}$, which is in agreement with the experimental dataof $X_{c}(3250)$. In view of that the conventional OPE convergence is notobtained here, thus only weak conclusions can be drawn regarding theexplanation of $X_{c}(3250)$ in terms of a $D_{0}^{*}(2400)N$ molecular state.As a byproduct, the mass for the bottom counterpart $\bar{B}_{0}^{*}N$ state ispredicted to be $6.50\pm0.49 {GeV}$.

Study of $X_{c}(3250)$ as a $D_{0}^{*}(2400)N$ molecular state