Five-flavor pentaquarks and other light- and heavy-flavor symmetry partners of the LHCb hidden-charm pentaquark

Abstract

The discovery of three pentaquark peaks -- the $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$ -- by the LHCb collaboration has a series of interesting consequences for hadron spectroscopy. If these hidden-charm objects are indeed hadronic molecules, as suspected, they will be constrained by heavy-flavor and SU(3)-flavor symmetries. The combination of these two symmetries will imply the existence of a series of five-flavor pentaquarks with quark content $\bar{b}csdu$ and $b\bar{c}sdu$, that is, pentaquarks that contain each of the five quark flavors that hadronize. In addition, from SU(3)-flavor symmetry alone we expect the existence of light-flavor partners of the three $P_c$ pentaquarks with strangeness $S=-1$ and $S=-2$. The resulting structure for the molecular pentaquarks is analogous to the light-baryon octet -- we can label the pentaquarks as $P_{Q^{\prime }\bar{Q}}^N$, $P_{Q^{\prime }\bar{Q}}^{\Lambda }$, $P_{Q^{\prime }\bar{Q}}^{\Sigma }$, $P_{Q^{\prime }\bar{Q}}^{\Xi }$ depending on their heavy- and light-quark content (with $N$, $\Lambda$, $\Sigma$, $\Xi$ the member of the light-baryon octet to which the light-quark structure resembles and $Q^{\prime }$, $\bar{Q}$ the heavy quark-antiquark pair). In total we predict $45$ new pentaquarks from heavy- and light-flavor symmetries alone, which extend up to $109$ undiscovered states if we also consider heavy-quark spin symmetry. If an isoquartet ($I=3/2$) hidden-charm pentaquark is ever observed, this will in turn imply a second multiplet structure resembling the light-baryon decuplet: $P_{Q^{\prime }\bar{Q}}^{\Delta }$, $P_{Q^{\prime }\bar{Q}}^{{\Sigma }^{\ast }}$, $P_{Q^{\prime }\bar{Q}}^{{\Xi }^{\ast }}$, $P_{Q^{\prime }\bar{Q}}^{\Omega }$.

Comments: 13 pages, 4 tables, corresponds to published version