Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Sigma$ mass spectrum via the QCD sum rules

Abstract

In this work, we adopt the diquark model, construct the diquark-diquark-antiquark type currents with the light quarks $uus$ in two octets, and study the $uusc\bar{c}$ pentaquark states in the framework of the QCD sum rules systematically. We obtain the mass spectrum of the hidden-charm-singly-strange pentaquark states with the quantum numbers $I{J}^P=1{\frac{1}{2}}^{-}$, $1{\frac{3}{2}}^{-}$ and $1{\frac{5}{2}}^{-}$. And we can search for those $P_{cs}$ states in the processes ${\Sigma }_b^{+}\to P_{cs}^{+}\varphi \to J/\psi {\Sigma }^{+}\varphi$ and ${\Xi }_b^0\to P_{cs}^{+}{K}^{-}\to J/\psi {\Sigma }^{+}{K}^{-}$.

Comments: 21 pages, 21 figures