Analysis of the (D)over-barΣc, (D)over-barΣc*, (D)over-bar*Σc, and (D)over-bar*Σc* pentaquark molecular states with QCD sum rules

In this paper, we study the (D) over bar Sigma(c), (D) over bar Sigma(c)*, (D) over bar*Sigma(c), and (D) over bar*Sigma(c)* pentaquark molecular 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 present calculations support assigning the P-c(4312) to be the (D) over bar Sigma(c) pentaquark molecular state with J(P) = 1/2(-), assigning the P-c(4380) to be the (D) over bar Sigma(c)* pentaquark molecular state with J(P) = 3/2(-), assigning the P-c(4440/4457) to be the (D) over bar*Sigma(c) pentaquark molecular state with J(P) = 3/2(-) or the (D) over bar*Sigma(c)* pentaquark molecular state with J(P) = 5/2(-). Special attention is paid to the operator product expansion.