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

Understand

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 the operator product expansion (OPE).
• We find that it is difficult to find the conventional OPE convergence in this work.
• By trying releasing the rigid OPE convergence criterion, one could find that the OPE convergence is still under control 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 data of $X_{c}(3250)$.