The hadronic coupling constants of the lowest hidden-charm pentaquark state with the QCD sum rules in rigorous quark-hadron duality

Abstract

In this article, we illustrate how to calculate the hadronic coupling constants of the pentaquark states with the QCD sum rules based on rigorous quark-hadron quality, then study the hadronic coupling constants of the lowest diquark-diquark-antiquark type hidden-charm pentaquark state with the spin-parity $J^P={\frac{1}{2}}^{-}$ in details, and calculate the partial decay widths. The total width $\Gamma (P_c)=14.32\pm 3.31\mathrm{MeV}$ is compatible with the experimental value $Γ_{P_c(4312)} = 9.8\pm2.7^{+ 3.7}_{- 4.5} \mbox{ MeV}$ from the LHCb collaboration, and favors assigning the $P_c(4312)$ to be the $[ud][uc]\bar{c}$ pentaquark state with the $J^P={\frac{1}{2}}^{-}$. The hadronic coupling constants have the relation $|G_{P{D}^{-}{\Sigma }_c^{++}}|=\sqrt{2}|G_{P{\bar{D}}^0{\Sigma }_c^{+}}|\gg |G_{P{\bar{D}}^0{\Lambda }_c^{+}}|$, and favor the hadronic dressing mechanism. The $P_c(4312)$ 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 $\bar{D}{\Sigma }_c$ lead to some pentaquark molecule components, and the $P_c(4312)$ maybe spend a rather large time as the $\bar{D}{\Sigma }_c$ molecular state.

27 pages, 9 figures

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Cited by in corpus (12)

• Magnetic dipole moments of the hidden-charm pentaquark states: $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$
• Investigation of $P_{cs}(4459{)}^0$ pentaquark via its strong decay to $\Lambda J/\Psi$
• Analysis of the hidden-charm pentaquark molecular states with strangeness and without strangeness via the QCD sum rules
• Analysis of the $P_{cs}(4338)$ and related pentaquark molecular states via the QCD sum rules
• Investigation of hidden-charm double strange pentaquark candidate $P_{css}$ via its mass and strong decays
• The decay widths of the $Z_{cs}(3985/4000)$ based on rigorous quark-hadron duality
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• Heavy-light hybrid mesons with different spin-parities
• Observation of ${\Lambda }_b^0\to {\Lambda }_c^{+}{\bar{D}}^{(\ast )0}{K}^{-}$ and ${\Lambda }_b^0\to {\Lambda }_c^{+}{D}_s^{\ast -}$ decays
• Strong decays of the $P_c(4312)$ and its isospin cousin via the QCD sum rules
• Strong decays of the $P_{cs}(4338)$ and its high isospin cousin via the QCD sum rules
• Two-body strong decays of the pseudoscalar hidden-charm tetraquark states via the QCD sum rules