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In the framework of the quark delocalization color screening model, both the hidden-charm and hidden-bottom pentaquark resonances are studied in the hadron-hadron scattering process. A few narrow pentaquark resonances with a hidden-charm above 4.2 GeV and some narrow pentaquark resonances with a hidden-bottom above 11 GeV are found from corresponding scattering processes. In addition, the states Nηc, NJ / ψ, Nηb, and NΥ with IJP = 1212− and NJ / ψ and NΥ with IJP = 1232− can all be bound by channel-coupling calculations. All of these heavy pentaquarks are worth investigating in future experiments.