Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Xi^*$ 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 $IJ^{P}=\frac{1}{2}{\frac{1}{2}}^-$, $\frac{1}{2}{\frac{3}{2}}^-$ and $\frac{1}{2}{\frac{5}{2}}^-$, and suggest to explore these exotic states in the exclusive processes $\Xi_b^{\prime0} \to P_{css}^0\,\phi \to J/\psi \Xi^{*0} \phi $ and $\Omega_b^{-}\to P_{css}^-\, \bar{K}^0 \to J/\psi \Xi^{*-}\, \bar{K}^0$. As a byproduct, we can re-testify classifications of the light baryons by investigating the hidden-charm pentaquark decays.