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.
Categories: hep-ph