Possible open-charmed pentaquark molecule $$\varOmega _c(3188)$$ Ωc(3188) – the $$D \varXi $$ DΞ bound state – in the Bethe–Salpeter formalism

Abstract

Abstract We study the S-wave $$D\varXi $$ DΞ bound state in the Bethe–Salpeter formalism in the ladder and instantaneous approximations. With the kernel generated by the hadronic effective Lagrangian, two open-charmed bound states, which quantum numbers are $$I=0$$ I=0 , $$J^P=(\frac{1}{2})^-$$ JP=(12)- and $$I=1$$ I=1 , $$J^P=(\frac{1}{2})^-$$ JP=(12)- , respectively, are predicted as new candidates of hadronic pentaquark molecules in our formalism. If existing, they could contribute to the broad 3188 MeV structure near the five new narrow $$\varOmega _c$$ Ωc states observed recently by the LHCb Collaboration.