An examination of the two-peak hypothesis of PΨsΛ(4459) using heavy quark symmetries

Abstract

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