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The production of the hidden-charm pentaquarks $P_{c}$ via pion-inducedreaction on a proton target is investigated within an effective Lagrangianapproach. Three experimentally observed states, $P_c(4312)$, $P_c(4440)$, and$P_c(4457)$, are considered in the calculation, and the Reggeized $t$-channelmeson exchange is considered as main background for the reaction $\pi^{-}p\rightarrow J/\psi n$. The numerical results show that the experimentaldata of the total cross section of the reaction $\pi^{-}p\rightarrow J/\psi n$at $W\simeq 5$ GeV can be well explained by contribution of the Reggeized $t$channel with reasonable cutoff. If the branching ratios $Br[P_{c}\rightarrowJ/\psi N]\simeq 3\%$ and $Br[P_{c}\rightarrow \pi N]\simeq 0.05\%$ are taken,the average value of the cross section from the $P_{c}(4312)$ contribution isabout 1.2 nb/100 MeV, which is consistent with existing rude data atnear-threshold energies. The results indicate that the branching ratios of the$P_{c}$ states to the $J/\psi N$ and $\pi N$ should be small. The shape ofdifferential cross sections shows that the Reggeized $t$-channel provides asharp increase at extreme forward angles, while the differential cross sectionsfrom the $P_{c}$ states contributions are relatively flat. High-precisionexperimental measurements on the reaction $\pi ^{-}p\rightarrow J/\psi n$ atnear-threshold energies are suggested to confirm the LHCb hidden-charmpentaquarks as genuine states, and such experiments are also helpful tounderstand the origin of these resonance structures.

Pion-induced production of hidden-charm pentaquarks $P_{c}(4312),P_{c}(4440)$, and $P_{c}(4457)$