Strange hidden-charm $P_{\psi s}^\Lambda(4459)$ and $P_{\psi s}^\Lambda(4338)$ pentaquarks and additional $P_{\psi s}^\Lambda$, $P_{\psi s}^\Sigma$ and $P_{\psi ss}^N$ candidates in a quark model approach

TL;DR

This paper investigates hidden-charm and bottom pentaquark-like states using a constituent quark model, predicting several molecular candidates and matching experimental data for certain resonances.

Contribution

It provides a comprehensive quark model analysis of hidden-charm pentaquarks, identifying molecular structures and predicting new candidates across charm and bottom sectors.

Findings

Identified $P_{ ext{ψ}s}^ ext{Λ}(4459)$ and $P_{ ext{ψ}s}^ ext{Λ}(4338)$ as molecular states with compatible experimental properties.

Predicted additional pentaquark candidates in charm and bottom sectors with specific quantum numbers.

Extended formalism to predict $P_{ ext{ψ} ss}^N$ and $P_{ ext{Υ} ss}^N$ molecular states.

Abstract

Hidden-charm pentaquark-like $P_{\psi s}^\Lambda(4459)^0$ and $P_{\psi s}^\Lambda(4338)$ resonances are studied in a constituent quark model as molecular meson-baryon structures. Such states are found in the $J^P(I)=\frac{1}{2}^-(0)$ channel with masses and widths compatible with the experimental measurements in a coupled-channels calculation with all the parameters constrained from previous studies. Other candidates are explored in the $J^P=\frac{1}{2}^-$, $\frac{3}{2}^-$ and $\frac{5}{2}^-$ channels in the charm and bottom sectors, with isospins $0$ ($P_{\psi s}^\Lambda$ and $P_{\Upsilon s}^\Lambda$) and $1$ ($P_{\psi s}^\Sigma$ and $P_{\Upsilon s}^\Sigma$). Additionally, the formalism is extended to study the $P_{\psi ss}^N$ ($P_{\Upsilon ss}^N$) pentaquarks, where eight candidates are predicted as $\bar D_s \Xi_c$ molecules in $I=\frac{1}{2}$, with $J^P=\frac{1}{2}^-$, $\frac{3}{2}^-$ and $\frac{5}{2}^-$ for the charm sector and nine candidates as $B_s \Xi_b$ for the bottom one.