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

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 ${\mathrm{\Xi }}_b^{\mathrm{\prime }0}\to P_{css}^0\phi \to J\mathrm{/}\psi {\mathrm{\Xi }}^{\ast 0}\phi$ and ${\mathrm{\Omega }}_b^{-}\to P_{css}^{-}{\bar{K}}^0\to J\mathrm{/}\psi {\mathrm{\Xi }}^{\ast -}{\bar{K}}^0$. As a byproduct, we can re-testify classifications of the light baryons by investigating the hidden-charm pentaquark decays.