Possible $J^{PC} = 0^{+-}$ Exotic State
  We study the possible exotic states with $J^{PC} = 0^{+-}$ 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 $0^{+-}$ state may not exist below 2 GeV. 
Meng-Lin Du, Wei Chen, Xiao-Lin Chen and Shi-Lin Zhu
hep-ph