Possible J{sup PC}=0{sup --} exotic state

In order to explore the possible existence of the exotic 0{sup --} state, we have constructed the tetraquark interpolating operators systematically. As a byproduct, we notice the 0{sup +-} tetraquark operators without derivatives do not exist. The special Lorentz structure of the 0{sup --} currents forbids the four-quark type of corrections to the spectral density. Now the gluon condensates are the dominant power corrections. None of the seven interpolating currents support a resonant signal. Therefore we conclude that the exotic 0{sup --} state does not exist below 2 GeV, which is consistent with the current experimental observations.