  We revisit the hidden-charm pentaquark states $P_c(4380)$ and $P_c(4450)$
using the method of QCD sum rules by requiring the pole contribution to be
larger than or around 30\% to better insure the one-pole parametrization to be
valid. We find two mixing currents and 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, while there still exist other possible
spin-parity assignments, such as $J^P=3/2^+$ and $J^P=5/2^-$, which needs to be
clarified in further theoretical and experimental studies.
