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

TL;DR

This paper investigates whether the $P_{ ext{ extPsi s}}^{ ext{ extLambda}}(4459)$ state is a single resonance or composed of two, using heavy quark symmetries and analyzing its possible molecular structure.

Contribution

The study applies generalized flavor-spin symmetry to analyze the structure of $P_{ ext{ extPsi s}}^{ ext{ extLambda}}(4459)$ and explores its potential as a two-peak resonance or molecular state.

Findings

$P_{ ext{ extPsi s}}^{ ext{ extLambda}}(4459)$ may consist of two resonances.

One predicted peak could be a $ar{D}^* ext{ extXi}_c$ molecular state.

Analysis supports the two-peak hypothesis over a single resonance.

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.