Investigating charmed hybrid baryons via QCD sum rules

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