Possible $J^{PC} = 0^{+-}$ Exotic State
Meng-Lin Du, Wei Chen, Xiao-Lin Chen, Shi-Lin Zhu

TL;DR
This paper investigates the existence of exotic $J^{PC} = 0^{+-}$ states using QCD sum rules, finding potential charmonium-like and bottomonium-like states but no evidence for light tetraquark states below 2 GeV.
Contribution
It introduces a QCD sum rule analysis for $0^{+-}$ exotic states and estimates their masses, highlighting the non-existence of light tetraquark states in this channel.
Findings
Charmonium-like $0^{+-}$ state around 4.85 GeV
Bottomonium-like $0^{+-}$ state around 11.25 GeV
No light $0^{+-}$ tetraquark states below 2 GeV
Abstract
We study the possible exotic states with using the tetraquark interpolating currents with the QCD sum rule approach. The extracted masses are around 4.85 GeV for the charmonium-like states and 11.25 GeV for the bottomomium-like states. There is no working region for the light tetraquark currents, which implies the light state may not exist below 2 GeV.
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