Abstract
Very recently LHCb reported the evidence of a new charged charmonium-like structure in the $J/\psi \pi^-$ invariant mass spectrum near 4600 MeV. In this work we investigate this structure together with three other charged charmonium-like states, the $Z_c(3900)$, $Z_c(4020)$, and $Z_c(4430)$. Our results suggest that the two higher states can be established as the first radial excitations of the two lower ones, all of which have the quantum numbers $J^{PC}=1^{+-}$. We propose to search for more relationship among exotic hadrons in order to better understand them.
Highlights
Our results suggest that the two higher states can be established as the first radial excitations of the two lower ones, all of which have the quantum numbers JPC 1⁄4 1þ−
Since the discovery of the Xð3872Þ by the Belle Collaboration in 2003 [1], there have been tens of charmoniumlike XYZ states observed in various particle experiments [2], all of which are good multiquark candidates
It is important to search for possible connections among different XYZ states, which shall shed light on our understanding of their underlying properties
Summary
Since the discovery of the Xð3872Þ by the Belle Collaboration in 2003 [1], there have been tens of charmoniumlike XYZ states observed in various particle experiments [2], all of which are good multiquark candidates Their relevant theoretical and experimental studies have significantly improved our understanding on the internal structure of (exotic) hadrons and the nonperturbative property of the strong interaction at the low energy region [3,4,5,6,7,8]. Since we have studied them as a whole, several assumptions/predictions are used/made at the same time, and we propose the experimentalists to: (a) verify whether the Zcð4600Þ exists or not, (b) determine its quantum numbers as well as those of the Zcð4020Þ, (c) search for their partner states with different quark contents Both theoretical and experimental studies on the relationship of exotic hadrons are intriguing research topics
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