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 $\hat{I}{ž}_c^{(\prime ,\ast )}$ and an anti-charmed meson ${\bar{D}}^{(\ast )}$ in a coupled channel analysis. Effective potentials for the $\hat{I}{ž}_c^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ interactions in a one-boson-exchange model can be related to those in the $\hat{I}{\pounds }_c^{(\ast )}{\bar{D}}^{(\ast )}$ 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 $\hat{I}{ž}_c^{\prime }\bar{D}$ states with $I(J^P)=0,1(1/2^{-})$, the $\hat{I}{ž}_c^{\ast }\bar{D}$ states with $0,1(3/2^{-})$, the $\hat{I}{ž}_c^{\prime }{\bar{D}}^{\ast }$ states with $0(1/2^{-})$ and $0,1(3/2^{-})$, and the $\hat{I}{ž}_c^{\ast }{\bar{D}}^{\ast }$ states with $0(1/2^{-},3/2^{-},5/2^{-})$.

8 pages, 3 figures, accepted by prd