Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$

Abstract

A candidate triple strange pentaquark state, $P_{csss}$, is investigated through its strong decay channel $P_{csss}\to {\Omega }^{-}J/\psi$. To calculate the relevant strong coupling constants, two possible interpolating currents with spin-parity $J^P={\frac{1}{2}}^{-}$ are used. Though the chosen currents for the state under consideration have spin-parity quantum numbers $J^P={\frac{1}{2}}^{-}$, they couple to both the positive and negative parity states simultaneously and the corresponding decay widths are obtained for both parities. These widths are obtained as $\Gamma (P_{csss}\to J/\psi {\Omega }^{-})=201.4\pm 82.5\mathrm{MeV}$ for the negative and $\Gamma ({\tilde{P}}_{csss}\to J/\psi {\Omega }^{-})=316.4\pm 107.8\mathrm{MeV}$ for the positive parity state when the first current is used. For the second current, we obtain $\Gamma (P_{csss}\to J/\psi {\Omega }^{-})=252.5\pm 116.7\mathrm{MeV}$ for the negative and $\Gamma ({\tilde{P}}_{csss}\to J/\psi {\Omega }^{-})=361.1\pm 98.4\mathrm{MeV}$ for the positive parity state. These results may provide insights into future experimental observations of such candidate states and help to distinguish and fix their properties.

arXiv comment14 Pages, 2 Figures and 3 Tables

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• Probing the hidden-bottom pentaquark resonances in photonuclear bottomonium production near threshold: differential observables