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

TL;DR

This paper uses heavy pentaquark chiral perturbation theory to calculate masses of hidden-charm pentaquarks with specific quantum numbers, predicting new states to guide experimental searches.

Contribution

It provides the first next-to-leading order chiral correction calculations for these pentaquark masses and predicts additional states based on known experimental inputs.

Findings

Predicted masses for $P_{ ext{psi s}}^{\Sigma}(4483)$ and $P_{ ext{psi ss}}^{N}(4490)$.

Guidance for experimental searches of new pentaquark states.

Calculated mass corrections up to next-to-leading order.

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.