Hadronic coupling constants of the lowest hidden-charm pentaquark state, using QCD sum rules with rigorous quark-hadron duality

In this article, we illustrate how to calculate the hadronic coupling constants of the pentaquark states with QCD sum rules based on rigorous quark-hadron quality. We then study the hadronic coupling constants of the lowest diquark-diquark-antiquark type hidden-charm pentaquark state with spin-parity J(p) = 1/2(-) detail, and calculate the partial decay widths. The total width Gamma(P-c) = 14.32 +/- 3.31 MeV is compatible with the experimental value Gamma p(c(4312)) = 9.8 +/- 2.7(-4.)(5)(+3.7) MeV from the LHCb collaboration, and favors assigning the P-c(4312) to be the [ud][uc](c) over bar pentaquark state with J(P) = 1/2(-). The hadronic coupling constants have the relation vertical bar G(PD)(-Sigma c++)vertical bar = root 2 vertical bar G(P (D) over bar0 Sigma c+)vertical bar >>vertical bar G(P (D) over bar0 Lambda c+)vertical bar, and favor the hadronic dressing mechanism. The P-c(4312) may 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 (D) over bar Sigma(c), lead to some pentaquark molecule components, and the P-c(4312) may spend a rather large time as the (D) over bar Sigma(c) molecular state.

Automated summary

In this study, hadronic coupling constants for pentaquark states were calculated using QCD sum rules, revealing the possible nature of the P-c(4312) as a [ud][uc](c) over bar pentaquark state. The research suggests that the P-c(4312) may exist for a considerable time as a (D) over bar Sigma(c) molecular state.