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 in the charm and bottom sectors, with isospins $0$ ($P_{\psi s}^{\Lambda }$ and $P_{{\rm Y}s}^{\Lambda }$) and $1$ ($P_{\psi s}^{\Sigma }$ and $P_{{\rm Y}s}^{\Sigma }$). Additionally, the formalism is extended to study the $P_{\psi ss}^N$ ($P_{{\rm Y}ss}^N$) 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.

Comments: 8 pages, 1 figure, 7 tables