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 $P_{csss}\to \hat{I}{\text{c◯}}^{-}J/\ddot{I}ˆ$. 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 $\hat{I}“(P_{csss}\to J/\ddot{I}ˆ\hat{I}{\text{c◯}}^{-})=201.4\pm 82.5\mathrm{MeV}$ for the negative and $\hat{I}“({\tilde{P}}_{csss}\to J/\ddot{I}ˆ\hat{I}{\text{c◯}}^{-})=316.4\pm 107.8\mathrm{MeV}$ for the positive parity state when the first current is used. For the second current, we obtain $\hat{I}“(P_{csss}\to J/\ddot{I}ˆ\hat{I}{\text{c◯}}^{-})=252.5\pm 116.7\mathrm{MeV}$ for the negative and $\hat{I}“({\tilde{P}}_{csss}\to J/\ddot{I}ˆ\hat{I}{\text{c◯}}^{-})=361.1\pm 98.4\mathrm{MeV}$ 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.

14 Pages, 2 Figures and 3 Tables