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We study the near-threshold $J/\psi$ meson production on protons and nucleiby considering incoherent direct non-resonant $K^-p \to {J/\psi}\Lambda$ andtwo-step resonant ${K^-}p \to P_{cs}(4459)^0 \to {J/\psi}\Lambda$ charmoniumproduction processes. We calculate the absolute excitation functions, energyand momentum distributions for the non-resonant, resonant and for the combined(non-resonant plus resonant) production of $J/\psi$ mesons off protons as wellas off carbon and tungsten target nuclei at near-threshold incident antikaonenergies by considering these elementary production channels as well as byassuming the spin-parity assignment of the hidden-charm resonance$P_{cs}(4459)^0$ with strangeness as $J^P=(3/2)^-$ within six differentscenarios for the branching ratio $Br[P_{cs}(4459)^0 \to {J/\psi}\Lambda]$ ofthe decay $P_{cs}(4459)^0 \to {J/\psi}\Lambda$. We show that the combinedobservables considered reveal definite sensitivity to these scenarios, whichmeans that they may be an important tool to provide further evidence for theexistence of the pentaquark $P_{cs}(4459)^0$ resonance and to get valuableinformation on its decay rate to the ${J/\psi}\Lambda$ final state. Theirmeasurements could be performed in the future at the J-PARC Hadron ExperimentalFacility.

nuclear physics a

Regarding the possibility to observe the LHCb hidden-charm strange  pentaquark $P_{cs}(4459)^0$ in antikaon-induced $J/\psi$ meson production on  protons and nuclei near the $J/\psi$$\Lambda$ production threshold