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

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 $\Gamma \left({P}_{csss}\to J/\psi {\Omega }^{-}\right)=201.4±82.5\text{}\text{}\mathrm{MeV}$ for the negative and $\Gamma \left({\stackrel{˜}{P}}_{csss}\to J/\psi {\Omega }^{-}\right)=316.4±107.8\text{}\text{}\mathrm{MeV}$ for the positive parity state when the first current is used. For the second current, we obtain $\Gamma \left({P}_{csss}\to J/\psi {\Omega }^{-}\right)=252.5±116.7\text{}\text{}\mathrm{MeV}$ for the negative and $\Gamma \left({\stackrel{˜}{P}}_{csss}\to J/\psi {\Omega }^{-}\right)=\phantom{\rule{0ex}{0ex}}361.1±98.4\text{}\text{}\mathrm{MeV}$ 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.