Masses of hidden-charm pentaquark states with $J^P={\frac{3}{2}}^{-}$

Abstract

Within the heavy pentaquark chiral perturbation theory, we calculate the chiral corrections for $J^P={\frac{3}{2}}^{-}$ octet hidden-charm pentaquark masses up to next-to-leading order. Taking the LHCb-reported $P_{\psi }^N(4440)$ and $P_{\psi s}^{\Lambda }(4459)$ (with $J^P={\frac{3}{2}}^{-}$) as inputs, we predict the other two octet hidden-charm pentaquark states $P_{\psi s}^{\Sigma }(4483)$ and $P_{\psi ss}^N(4490)$ with $J^P={\frac{3}{2}}^{-}$. The results provide theoretical guidance for the further search of $P_{\psi s}^{\Sigma }$ and $P_{\psi ss}^N$ in experiments.