Hadronic coupling constants of the lowest hidden-charm pentaquark state, using QCD sum rules with rigorous quark-hadron duality * *Supported by National Natural Science Foundation of China (11775079)

Abstract

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 in detail, and calculate the partial decay widths. The total width is compatible with the experimental value from the LHCb collaboration, and favors assigning the to be the pentaquark state with . The hadronic coupling constants have the relation , and favor the hadronic dressing mechanism. The may have a diquark-diquark-antiquark type pentaquark core with the typical size of the -type baryon states. The strong couplings to the meson-baryon pairs lead to some pentaquark molecule components, and the may spend a rather large time as the molecular state.