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Accounting for the LHCb observation that the reported hidden-charm strangepentaquark $P_{cs}(4459)^0$ can split into two substructures, $P_{cs}(4455)^0$and $P_{cs}(4468)^0$, with a mass difference of 13 MeV as well as the newlyobserved hidden-charm pentaquark resonance $P_{cs}(4338)^0$ with strangeness,we study within the double-peak scenario for the $P_{cs}(4459)^0$ state thenear-threshold $J/\psi$ meson production from protons and nuclei by consideringincoherent direct non-resonant (${K^-}p \to {J/\psi}\Lambda$) and two-stepresonant (${K^-}p \to P_{csi}^0 \to {J/\psi}\Lambda$, $i=1$, 2, 3;$P_{cs1}^{0}=P_{cs}(4338)^0$, $P_{cs2}^{0}=P_{cs}(4455)^0$,$P_{cs3}^{0}=P_{cs}(4468)^0$) charmonium production processes with the maingoal of clarifying the possibility to observe within this scenario both abovetwo substructures contributing to the $P_{cs}(4459)^0$ state and the$P_{cs}(4338)^0$ resonance in this production. We calculate the absoluteexcitation functions, energy and momentum distributions for the non-resonant,resonant and for the combined (non-resonant plus resonant) production of$J/\psi$ mesons on protons as well as on carbon and tungsten target nuclei atnear-threshold incident antikaon beam momenta by assuming the spin-parityassignments of the hidden-charm resonances $P_{cs}(4338)^0$, $P_{cs}(4455)^0$and $P_{cs}(4468)^0$ as $J^P=(1/2)^-$, $J^P=(1/2)^-$ and $J^P=(3/2)^-$ withinfour different realistic choices for the branching ratios of their decays tothe ${J/\psi}\Lambda$ mode (0.125, 0.25, 0.5 and 1\%) as well as for twooptions for the branching fraction of their decays to the $K^-p$ channel (0.01and 0.001\%). We show that these combined observables reveal clear sensitivityto these scenarios. Hence, they may be an important tool to provide furtherevidence for the existence of the above strange hidden-charm pentaquarkresonances.

nuclear physics a

On the possibility of testing the two-peak structure of the LHCb  hidden-charm strange pentaquark $P_{cs}(4459)^0$ in near-threshold  antikaon-induced charmonium production on protons and nuclei