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We study the strong decay channels $P_c^+(4380) \to J/\psi p$ and$P_c^+(4450) \to J/\psi p$ under $\Sigma_c \bar{D}^*$ molecular state ansatz.With various spin-parity assignments, the partial decay widths of $J/\psi p$final state are calculated. Our results show that all the $P$ wave $\Sigma_c{\bar D}^*$ assignments are excluded, while $S$ wave $\Sigma_c {\bar D}^*$pictures for $P_c(4380)$ and $P_c(4450)$ are both allowed by presentexperimental data. The $J^P=3/2^-$ $\Sigma_c^* \bar{D}$ and $\Sigma_c^*\bar{D}^*$ molecules are also discussed in the heavy quark limit, and find thatthe $\Sigma_c^* \bar{D}$ system for $P_c(4380)$ is possible. More experimentalinformation on spin-parities and partial decay widths and theoreticalinvestigations on other decay modes are needed to clarify the nature of the two$P_c$ states.

Strong decay mode $J/\psi p$ of hidden charm pentaquark states $P_c^+(4380)$ and $P_c^+(4450)$ in $\Sigma_c \bar{D}^*$ molecular scenario