Exotic multistrange-anticharm baryon systems

Abstract

We study exotic baryon systems composed of anticharmed mesons and strange baryons using the extended local hidden gauge approach. By solving the coupled-channel Bethe-Salpeter equation with interaction kernels from vector meson exchange, we explore the formation of hadronic molecular states in sectors with strangeness $S=-1$, $-2$, $-3$ and $-4$. {We systematically consider all possible isospin configurations and include both octet and decuplet baryons in the coupled-channel systems.} \textcolor{black}{Our results indicate that attractive interactions in $S=-1,-2$ can dynamically generate bound states, while systems with $S=-3,-4$ have repulsive interactions and do not support molecular formation.} We also investigate vector-baryon systems with ${\bar{D}}^{\ast }$ and ${\bar{D}}_s^{\ast }$ mesons, finding similar but more deeply bound states. The results show that bound exotic states are more likely when one or two strange quarks are present. {To assess the robustness of our predictions, we perform an uncertainty analysis by varying the cutoff parameter \( q_{\text{max}} \), which affects the loop function regularization. The variations lead to moderate shifts in the pole positions, confirming the qualitative stability of the molecular states.} These results highlight the strangeness dependence of the molecular formation mechanism and provide theoretical predictions that can guide future experimental searches for exotic multistrange-anticharm baryon systems.

Comments: The version submitted to the journal