Abstract
We use the method of QCD sum rules to systematically study the mass spectrum of hidden-charm pentaquarks of spin $J = {1\over2}/{3\over2}/{5\over2}$ and with the quark content $uud c \bar c$. Our results suggest that the $P_c(4380)$ and $P_c(4450)$ can be identified as hidden-charm pentaquark states having $J^P=3/2^-$ and $5/2^+$, respectively.
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