Investigating charmed hybrid baryons via QCD sum rules

Motivated by recent interpretations of the η₁(1855) and $X(2370)$ as a hybrid meson and a glueball, respectively, the possible existence of hybrid baryons has become a subject of considerable interest. In this letter, 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 $sscg$ ($q = u/d$). The masses of the lowest-lying charmed hybrid baryons in the $SU(3)$ flavor 6F representation are calculated to be M_Σcg(1/2⁺) = 3.46+0.33-0.21~GeV, M_Ξᶜg(1/2⁺) = 3.60+0.48-0.16~GeV, and M_Ωcg(1/2⁺) = 3.77+0.31-0.16~GeV. We propose that future experiments search for these states via their P-wave decay channels ND(*), Λ D(*), and Ξ D(*), respectively. Such investigations would provide valuable insight into the role of gluonic excitations in hadron structure.