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

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, with isospins $0$ ($P_{\psi s}^\Lambda$) and $1$ ($P_{\psi s}^\Sigma$). Additionally, the formalism is extended to study the $P_{\psi ss}^N$ pentaquark, 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 $\frac{5}{2}^-$.