An examination of the two-peak hypothesis of $P_{\Psi s}^{\Lambda}(4459)$ using heavy quark symmetries

Abstract

The LHCb Collaboration announcement regarding the observation of the $P_{\Psi s}^{\Lambda} (4459)$ stated that it might consist of two resonances rather than a single one. Naturally, the structure and composition of $P_{\Psi s}^{\Lambda}(4459)$ state has prompted significant interest among researchers. Within the framework of generalized flavor-spin symmetry, the $P_{\Psi s}^{\Lambda}(4459)$ has been correlated with the previously identified as one-peak states $P_c(4450)$, which were later found to be two-peak, $P_{c\bar{c}}(4440)$ and $P_{c\bar{c}}(4457)$. We investigate whether the $P_{\Psi s}^{\Lambda}(4459)$ embodies one or two distinct resonances. Notably, one of the predicted peaks posited by LHCb analysis appears to correspond to a $\bar{D}^*\Xi_c$ molecular state.