Search for hidden-charm pentaquark states in three-body final states

Abstract The three pentaquark states, $$P_c(4312)$$ P c ( 4312 ) , $$P_c(4440)$$ 4440 and $$P_c(4457)$$ 4457 discovered by the LHCb Collaboration in 2019, are often interpreted as $${\bar{D}}^{(*)}\Sigma _c$$ D ¯ ∗ Σ molecules. Together with their four _{c}^{*}$$ partners dictated heavy quark spin symmetry they represent a complete multiplet of hadronic molecules _{c}^{(*)}$$ . states were observed $$J/\psi p$$ J / ψ p invariant mass distributions $$\Lambda _b\rightarrow J/\psi p K$$ Λ b → K decay. It is widely recognized that to understand nature, other discovery channels play an important role. In this work, we investigate two three-body decay modes tree-level proceed via off-shell $$\Sigma baryons, _{c}^{(*)} \rightarrow {\bar{D}}^{(*)}\left( \Sigma _{c}^{(*)}\rightarrow \Lambda _{c}\pi \right) {\bar{D}}^{(*)}\Lambda $$ π while triangle-loop through $${\bar{D}}^{*}\Sigma N\pi N $$\eta _{c}N\pi η $${\bar{D}}\Sigma rescattering N$$ _{c}N$$ Our results indicate widths $$P_{c}(4457)$$ into $${\bar{D}}^{(*)}\Lambda several MeV, result can be upcoming Run 3 4 LHC. partial $$P_{c}(4312)$$ $$P_{c}(4440)$$ range from tens hundreds keV. addition, _{c}$$ N \pi _c keV keV, respectively, vary particular, show spin-5/2 state searched for $${\bar{D}}^{*}\Lambda distributions, latter one more favorable. These great value further observations better understanding nature.