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

Abstract

Accounting for the LHCb observation that the reported hidden-charm strange pentaquark $P_{cs}(4459{)}^0$ 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 newly observed hidden-charm pentaquark resonance $P_{cs}(4338{)}^0$ with strangeness, we study within the double-peak scenario for the $P_{cs}(4459{)}^0$ state the near-threshold $J/\psi$ meson production from protons and nuclei by considering incoherent direct non-resonant ($K^{-}p\to J/\psi \Lambda$) and two-step resonant ($K^{-}p\to P_{csi}^0\to J/\psi \Lambda$, $i=1$, 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 main goal of clarifying the possibility to observe within this scenario both above two substructures contributing to the $P_{cs}(4459{)}^0$ state and the $P_{cs}(4338{)}^0$ resonance in this production. We calculate the absolute excitation 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 at near-threshold incident antikaon beam momenta by assuming the spin-parity assignments 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 $J^P=(3/2{)}^{-}$ within four different realistic choices for the branching ratios of their decays to the $J/\psi \Lambda$ mode (0.125, 0.25, 0.5 and 1\%) as well as for two options for the branching fraction of their decays to the $K^{-}p$ channel (0.01 and 0.001\%). We show that these combined observables reveal clear sensitivity to these scenarios. Hence, they may be an important tool to provide further evidence for the existence of the above strange hidden-charm pentaquark resonances.

30 pages, 13 figures; arXiv admin note: text overlap with arXiv:2211.16037, references and some additional comments are added

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Cited by in corpus (6)

• Spectrum of the molecular pentaquarks
• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
• Higher molecular $P_{\psi s}^{\Lambda /\Sigma }$ pentaquarks arising from the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ interactions
• Unveiling the Structure of Hidden-Bottom Strange Pentaquarks via Magnetic Moments
• Strong decays of the $P_{cs}(4338)$ and its high isospin cousin via the QCD sum rules
• Kaon-induced production of strange hidden-charm molecular pentaquarks $P_{\psi s}^{\Lambda }$ from proton