Experimental constraints on the properties of $P_c$ states

TL;DR

This paper uses new experimental data to constrain the properties of $P_c$ states, suggesting molecular interpretations for some and predicting observable signals in various decay channels, while analyzing quantum numbers and experimental sensitivities.

Contribution

It provides new constraints on $P_c$ states, proposes molecular models for some, and predicts large signals in specific decay channels based on heavy-quark symmetry.

Findings

$P_c(4312)$, $P_c(4380)$, $P_c(4440)$ fit molecular models

$P_c(4457)$ does not fit the same molecular picture

Predicted large signals in $ ext{eta}_c p K^-$, $ ext{Lambda}_c^+ar D^{*0}K^-$, and $ ext{Sigma}_c^{(*)}ar D K^-$ channels

Abstract

Using new experimental data on photoproduction and $\Lambda_b^0$ decays, we derive constraints on the properties of the LHCb $P_c$ states. We conclude that $P_c(4312)$, $P_c(4380)$ and $P_c(4440)$ can be described as $\Sigma_c\bar D$, $\Sigma_c^*\bar D$ and $\Sigma_c\bar D^*$ molecules, but that $P_c(4457)$ does not fit into the same picture. Based on the apparent absence of additional partner states, and the striking disparity between $\Lambda_c^+\bar D^0$ and $\Lambda_c^+\bar D^{*0}$ decays, we conclude that $P_c(4440)$ has $3/2^-$ quantum numbers. Using heavy-quark symmetry we predict large experimental signals for $P_c$ states in $\eta_c p K^-$, $\Lambda_c^+\bar D^{*0}K^-$, and $\Sigma_c^{(*)}\bar D K^-$. We also argue that current experimental data on photoproduction is almost at the level of sensitivity required to observe $P_c$ states.