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

Abstract

In this work, we study the diquark-diquark-antiquark type $uusc\bar{c}$ pentaquark states in the light-flavor $\mathbf{10}$ representation via the QCD sum rules in details. We exhaust the lowest five-quark configurations and obtain the spectroscopy of the $uusc\bar{c}$ pentaquark states with the quantum numbers $IJ^{P}=1{\frac{1}{2}}^-$, $1{\frac{3}{2}}^-$, $1{\frac{5}{2}}^-$, and suggest to investigate them in the decay chain $Σ_b^+\to P_{cs}^+\,ϕ\to J/ψΣ^{*+}\, ϕ$ experimentally.