Abstract
In this study, we investigate the , , , , , , , and pentaquark molecular states with and without strangeness via the QCD sum rules in detail, focusing on the light flavor, , breaking effects, and make predictions for new pentaquark molecular states besides assigning , , , , and self-consistently. In the future, we can search for these pentaquark molecular states in the decay of , , and . Furthermore, we discuss high-dimensional vacuum condensates in detail.
Highlights
In 2015, the LHCb collaboration explored the Λ0b → J/ψK−p decays and observed two pentaquark candidates Pc(4380) and Pc(4450) in the J/ψp mass spectrum with the preferred quantum numbers JP = 3− 2 and+, respectively [1]
Λ0b → J/ψK−p decays, which was an order of magnitude larger than that previously analyzed, and observed a narrow pentaquark candidate Pc(4312) in the J/ψp mass spectrum, and confirmed the structure Pc(4450), which are consisted of two narrow overlapping peaks Pc(4440) and Pc(4457)
In Ref.[40], we suggest the hadronic dressing mechanism to compromise the pentaquark and pentaquark molecule interpretations based on the calculations of the QCD sum rules, the pentaquark states maybe have a diquark-diquark-antiquark type pentaquark core with the typical size of the qqq-type baryon states, the strong couplings to the meson-baryon pairs lead to some pentaquark molecule Fock components, and the pentaquark states maybe spend a rather large time as the molecular states
Summary
In 2015, the LHCb collaboration explored the Λ0b → J/ψK−p decays and observed two pentaquark candidates Pc(4380) and Pc(4450) in the J/ψp mass spectrum with the preferred quantum numbers. The Pc(4312), Pc(4380), Pc(4440), Pc(4457) and Pcs(4459) can be tentatively assigned to be the diquark-diquark-antiquark type (or diquark-triquark type) pentaquark states in the diquark-model through exploring their masses [25, 26] ([27]) and decay modes [28, 29, 30] ([31]) via the effective Hamiltonian, or investigating their masses [32, 33, 34, 35, 37], decays [38], electromagnetic properties [39] via the QCD sum rules. We extend our previous work [22] to study the masses and pole residues of the D Σc, D Ξ′c, D Σ∗c , D Ξ∗c , D ∗Σc, D ∗Ξ′c, D ∗Σ∗c and D ∗Ξ∗c pentaquark molecular states with the QCD sum rules by accomplishing the operator product expansion up to the vacuum condensates of dimension qq 2 αs π. The article is arranged in the form: we acquire the QCD sum rules for the masses and pole residues of the pentaquark molecular states in Sect.; in Sect., we present the numerical results and discussions; and Sect. is reserved for our conclusion
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