Octet baryon and heavy meson interactions in chiral effective field theory

Abstract

We calculate the effective potentials of the octet baryon and heavy meson systems using the chiral effective field theory up to the next-to-leading order. We consider the contact terms, one-pseudoscalar-meson and two-pseudoscalar-meson exchange contributions, facilitating a comprehensive analysis of the short-, mid-, and long-range interactions in these systems. The low energy constants are correlated with those of the $\bar{N}N$ interaction using a quark-level Lagrangian approach. We also incorporate the decuplet baryon contributions in the loop diagrams. Our research provides new insights into several near-threshold charmed baryons [e.g., $Λ_{c}(2940)$, $Ξ_{c}(3055)$, and $Ω_{c}(3188)$, etc.] around $3$ GeV from the hadronic molecular perspective. We also observe several molecular states, referred to as $Ξ_{c}$, within the mass range of $3100-3500$ MeV. Further measurements of their resonance parameters and decay patterns in experiments may help to discriminate the conventional baryon and hadronic molecule explanations for these near-threshold states.