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

We apply the method of QCD sum rules to study the sq (s) over bar(q) over bar tetraquark states with the exotic quantum number J(PC) = 3(-+), and extract mass of the lowest-lying state to be 2.33(-0.16)(+0.19) GeV. To construct the relevant tetraquark currents we need to explicitly add the covariant derivative operator. Our systematical analysis on their relevant interpolating currents indicates that (a) this state well decays into the P-wave rho phi/omega phi channel but not into the rho f(2)(1525)/omega f(2)(1525)/phi f(2)(1270) channels, and (b) it well decays into the K* (892) (K) over bar (2)* (1430) channel but not into the P-wave K* (892) (K) over bar* (892) channel.

Automated summary

In this study, the QCD sum rules method was used to examine tetraquark states with exotic quantum numbers. The analysis revealed the decay characteristics of these states into different channels, providing insights into the construction of relevant tetraquark currents.