Based on our previous QCD sum rule studies on hidden-charm pentaquark states, we discuss possible interpretations of the $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$, which were recently observed by LHCb. Our results suggest that the $P_c(4312)$ can be well interpreted as the $[{\mathrm{\Sigma }}_c^{++}{\overline{D}}^{-}]$ bound state with $J^P=1/2^{-}$, while the $P_c(4440)$ and $P_c(4457)$ can be interpreted as the $[{\mathrm{\Sigma }}_c^{+}{\overline{D}}^0]$ bound state with $J^P=1/2^{-}$, the $[{\mathrm{\Sigma }}_c^{*++}{\overline{D}}^{-}]$ and $[{\mathrm{\Sigma }}_c^{+}{\overline{D}}^{*0}]$ bound states with $J^P=3/2^{-}$, or the $[{\mathrm{\Sigma }}_c^{*+}{\overline{D}}^{*0}]$ bound state with $J^P=5/2^{-}$. We propose to measure their spin-parity quantum numbers to verify these assignments.

• Received 27 June 2019

DOI:https://doi.org/10.1103/PhysRevD.100.051501

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society