Analysis of the Pc(4312), Pc(4440), Pc(4457) and related hidden-charm pentaquark states with QCD sum rules

In this paper, we restudy the ground state mass spectrum of the diquark-diquark- antiquark-type uudc (c) over bar pentaquark states with the QCD sum rules by carrying out the operator product expansion up to the vacuum condensates of dimension 13 in a consistent way. The predicted masses support assigning the P-c(4312) to be the hidden-charm pentaquark state with J(P) = 1/2(-), assigning the P-c(4440) to be the hidden-charm pentaquark state with J(P) = 1/2(-), 3/2(-) or 5/2(-), assigning the P-c(4457) to be the hidden-charm pentaquark state with J(P) = 1/2(-) or 3/2(-).