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We investigate the neutral hidden charm pentaquark states $P_c^0(4380)$ and$P_c^0(4450)$ in $\pi^-p \to J/\psi n$ reaction within an effective Lagrangianapproach. The background contributions for the process mainly come from$t$-channel $\pi$ and $\rho$ meson exchanges. The contributions of$P_c^0(4380)$ and $P_c^0(4450)$ states give clear peak structures in themagnitude of 1 $\mu$b at center of mass energy 4.38 GeV and 4.45 GeV in thetotal cross sections. Hence, this reaction may provide a new good platform tosearch for neutral $P_c$ states. It is expected that our estimated total crosssections together with the angular distributions can be tested by futureexperiments at J-PARC.

Neutral hidden charm pentaquark states $P_c^0(4380)$ and $P_c^0(4450)$ in $\pi^-p \to J/\psi n$ reaction