Analysis of the hidden-charm pentaquark candidates in the $J/\psi {\Xi }^{\ast }$ mass spectrum via the QCD sum rules

Abstract

In this work, we explore the diquark-diquark-antiquark type decuplet hidden-charm pentaquark states with the symbolic valence structure $qssc\bar{c}$ via the QCD sum rules extensively, and achieve the spectroscopy of the lowest decuplet $qssc\bar{c}$ pentaquark states with the quantum numbers $I{J}^P=\frac{1}{2}{\frac{1}{2}}^{-}$, $\frac{1}{2}{\frac{3}{2}}^{-}$ and $\frac{1}{2}{\frac{5}{2}}^{-}$, and suggest to explore these exotic states in the exclusive processes ${\Xi }_b^{\prime 0}\to P_{css}^0\varphi \to J/\psi {\Xi }^{\ast 0}\varphi$ and ${\Omega }_b^{-}\to P_{css}^{-}{\bar{K}}^0\to J/\psi {\Xi }^{\ast -}{\bar{K}}^0$. As a byproduct, we can re-testify classifications of the light baryons by investigating the hidden-charm pentaquark decays.

23 pages, 11 figures