Mass behavior of hidden-charm pentaquarks with open-strange inspired by these established $P_c$ molecular states

Abstract

Stimulated by the meson-baryon molecular interpretations of the $P_c$ states ($P_c(4312)/P_c(4440)/P_c(4457)$), we systematically study the interactions between an $S-$wave charm-strange baryon ${\Xi }_c^{(\prime ,\ast )}$ and an anti-charmed meson ${\bar{D}}^{(\ast )}$ in a coupled channel analysis. Effective potentials for the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ interactions in a one-boson-exchange model can be related to those in the ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}$ systems by using the $SU(3)$ flavor symmetry and heavy quark symmetry. Our results can predict several promising hidden-charm molecular pentaquarks with strangeness $|S|=1$, which include the ${\Xi }_c^{\prime }\bar{D}$ states with $I(J^P)=0,1(1/2^{-})$, the ${\Xi }_c^{\ast }\bar{D}$ states with $0,1(3/2^{-})$, the ${\Xi }_c^{\prime }{\bar{D}}^{\ast }$ states with $0(1/2^{-})$ and $0,1(3/2^{-})$, and the ${\Xi }_c^{\ast }{\bar{D}}^{\ast }$ states with $0(1/2^{-},3/2^{-},5/2^{-})$.

Comments: 8 pages, 3 figures, accepted by prd