Light tetraquark states with the exotic quantum number JPC=3−+

We apply the method of QCD sum rules to study $s q \bar s q$ tetraquark states with exotic quantum number $J^{PC} = 3^{-+}$, and extract mass lowest-lying state be $2.33^{+0.19}_{-0.16}$ GeV. To construct relevant currents we need explicitly add covariant derivative operator. Our systematical analysis on their interpolating indicates that: a) this well decays into $P$-wave $\rho\phi/\omega\phi$ channel but not $\rho f_2(1525)/\omega f_2(1525)/\phi f_2(1270)$ channels, b) it $K^*(892) K_2^*(1430)$ K^*(892)$ channel.