Hidden-charm pentaquark states in a mass splitting model

TL;DR

This paper models the mass spectrum of hidden-charm pentaquark states using a color-magnetic interaction framework, assigning quantum numbers to observed states and predicting narrow pentaquarks for future experimental verification.

Contribution

It introduces a mass splitting model to analyze hidden-charm pentaquark states and assigns quantum numbers to known states, predicting new narrow pentaquarks for experimental search.

Findings

Quantum numbers assigned to $P_c(4457)^+$, $P_c(4440)^+$, and $P_c(4337)^+$.

Interpretation of $P_{cs}(4338)^0$ and $P_{cs}(4459)^0$ as $udscar{c}$ states.

Prediction of narrow pentaquarks in $ssncar{c}$ and $ssscar{c}$ systems.

Abstract

Assuming that the $P_c(4312)^+$ is a $I(J^P)=\frac12(\frac32^-)$ compact pentaquark, we study the mass spectrum of its S-wave hidden-charm partner states in a color-magnetic interaction model. Combining the information from their decays obtained in a simple rearrangement scheme, one finds that the quantum numbers of $P_c(4457)^+$, $ P_c(4440)^+$, and $P_c(4337)^+$ can be assigned to be $I(J^P)=\frac12(\frac32^-)$, $\frac12(\frac12^-)$, and $\frac12(\frac12^-)$, respectively, while both $P_{cs}(4338)^0$ and $P_{cs}(4459)^0$ can be interpreted as $I(J^P)=0(\frac12^-)$ $udsc\bar{c}$ compact states. Based on the numerical results, we also find narrow pentaquarks in $ssnc\bar{c}$ ($n=u,d$) and $sssc\bar{c}$ systems. The decay properties of the studied pentaquarks and the searching channels for them can be tested in future experiments.