Vector and axial-vector charmoniumlike states

After constructing all the tetraquark interpolating currents with JPC=1^-+, 1⁻⁻, 1⁺⁺ and 1^+- in a systematic way, we investigate the two-point correlation functions to extract the masses of the charmoniumlike states with QCD sum rule. For the 1⁻⁻ qcq̄c̄ charmoniumlike state, mX=4.6~4.7 GeV, which implies a possible tetraquark interpretation for the state $Y(4660)$. The masses for both the 1⁺⁺ qcq̄c̄ and scs̄c̄ charmoniumlike states are around 4.0~4.2 GeV, which are slightly above the mass of $X(3872)$. For the 1^-+ and 1^+- qcq̄c̄ charmoniumlike states, the extracted masses are around 4.5~4.7 GeV and 4.0~4.2 GeV, respectively. As a by-product, the bottomoniumlike states are also studied. We also discuss the possible decay modes and experimental search of the charmoniumlike states.