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

Abstract In this work, we distinguish the isospin unambiguously to construct the diquark–diquark–antiquark type five-quark currents with the isospin $$I=1/2$$ I = 1 / 2 , and study the $$uudc\bar{c}$$ u u d c c ¯ pentaquark states with the QCD sum rules systematically for the first time. Then we obtain the mass spectrum of the diquark–diquark–antiquark type $$uudc\bar{c}$$ u u d c c ¯ pentaquark states with the isospin-spin-parity $$IJ^P=\frac{1}{2}{\frac{1}{2}}^-$$ I J P = 1 2 1 2 - , $$\frac{1}{2}{\frac{3}{2}}^-$$ 1 2 3 2 - and $$\frac{1}{2}{\frac{5}{2}}^-$$ 1 2 5 2 - , and make possible assignments of the $$P_c(4312)$$ P c ( 4312 ) , $$P_c(4337)$$ P c ( 4337 ) , $$P_c(4380)$$ P c ( 4380 ) , $$P_c(4440)$$ P c ( 4440 )