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.
Highlights
In the last decade, many important experimental progresses were made in the study of charm hadrons
Since we study the ground state of the DΞ bound state, the BS wave function is rotationally invariant and depends only on the norm of the three momentum, |pt |
We studied the possible S-wave molecular bound states of the DΞ system in the BS formalism
Summary
Many important experimental progresses were made in the study of charm hadrons. Several charm baryons and their excited states have been reported and this stimulates great interest in understanding the structures of charm baryons In these experimental observations, there are some non-conventional states, which are more complicated than the hadronic states in the classical quark model. The data indicate the presence of a broad structure around 3188 MeV that is fitted as single resonance [shortly denoted by Ωc(3188) in our work]. Since the width of corresponding peak is quite broad [15], if this structure is a real signal of resonance, there is reason to believe that it would be a new pentaquark molecule with a single charm quark. We will focus on this structure and study the possible S-wave DΞ bound state. We give a summary and some discussions
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