Possible open-charmed pentaquark molecule varOmega _c(3188) \u2013 the D varXi bound state \u2013 in the Bethe\u2013Salpeter formalism

Abstract

We study the S-wave DvarXi 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, J^P=(frac{1}{2})^- and I=1, J^P=(frac{1}{2})^-, 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 states observed recently by the LHCb Collaboration.