The I^G J^{PC}=0^+ 1^{-+} Tetraquark State

Hua-Xing Chen; Atsushi Hosaka; Shi-Lin Zhu

doi:10.1103/physrevd.78.117502

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arXiv · 0808.2344

The I^G J^{PC}=0^+ 1^{-+} Tetraquark State

Hua-Xing Chen·Atsushi Hosaka·Shi-Lin Zhu

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Abstract

We study the tetraquark state with I^G J^{PC} = 0^+ 1^{-+} in the QCD sum rule. We exhaust all possible flavor structures by using a diquark-antidiquark construction and find that the flavor structure 3*6+6*3 is preferred. There are altogether four independent currents which have the quark contents q s \bar q \bar s. By using both the Shifman-Vainshtein-Zakharov (SVZ) sum rule and the finite energy sum rule, these currents lead to mass estimates around 1.8 - 2.1 GeV, where the uncertainty is due to the mixing of two single currents. Its possible decay modes are S-wave b_1(1235) ηand b_1(1235) η^\prime, and P-wave KK, ηη, ηη^\prime and η^\prime η^\prime, etc. The decay width is around 150 MeV through a rough estimation.

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Hua-Xing Chen, Atsushi Hosaka, Shi-Lin Zhu. 2008-11-13. The I^G J^{PC}=0^+ 1^{-+} Tetraquark State. https://doi.org/10.1103/physrevd.78.117502

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