We investigate charmed hybrid baryons using the QCD sum rule method within the framework of heavy quark effective theory. We construct 28 interpolating currents for charmed hybrid baryons, seven of which are employed in QCD sum rule analyses of 19 states with quark-gluon configurations $qqcg$, $qscg$, and $sscg$ ($q=u/d$). The masses of the lowest-lying charmed hybrid baryons in the $SU(3)$ flavor ${\mathbf{6}}_F$ representation are calculated to be $M_{{\mathrm{\Sigma }}_{cg}(1/2^{+})}=3.36_{-0.26}^{+0.27}\mathrm{GeV}$, $M_{{\mathrm{\Xi }}_{cg}^{\prime }(1/2^{+})}=3.59\pm 0.20\mathrm{GeV}$, and $M_{{\mathrm{\Omega }}_{cg}(1/2^{+})}=3.82\pm 0.21\mathrm{GeV}$. We propose that future experiments search for these states via their $P$-wave decay channels $N{D}^{(*)}$, $\mathrm{\Lambda }{D}^{(*)}$, and $\mathrm{\Xi }{D}^{(*)}$, respectively. Such investigations would provide valuable insight into the role of gluonic excitations in hadron structure.

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• Heavy quark effective theory
• Charmed baryons
• Exotic baryons