Analysis of the hidden-charm pentaquark candidates in the $J/ψΞ^*$ mass spectrum via the QCD sum rules

Abstract

In this work, we study the diquark-diquark-antiquark type decuplet $qssc\bar{c}$ pentaquark states with the QCD sum rules comprehensively, and obtain the mass spectrum 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 search for those exotic states in the processes $Ξ_b^{\prime0} \to P_{css}^0\,ϕ\to J/ψΞ^{*0} ϕ$ and $Ω_b^{-}\to P_{css}^-\, \bar{K}^0 \to J/ψΞ^{*-}\, \bar{K}^0$. As a byproduct, we can examine classifications of the light baryons by studying the pentaquark decays.