Using the fixed-center approximation, the π⁰(η) f₁(1285) interaction yields scattering parameters and correlation functions but no clear poles for the π₁(1400), π₁(1600), or η₁(1855) resonances, only a broad structure near 1500-1600 MeV and a cusp at the η f₁ threshold.
The I^G J^{PC}=1^- 1^{-+} Tetraquark States
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abstract
We study the tetraquark states with I^G J^{PC}=1^- 1^{-+} in the QCD sum rule. After exhausting all possible flavor structures, we analyses both the SVZ and finite energy sum rules. Both approaches lead to a mass around 1.6 GeV for the state with the quark contents q q q_bar q_bar, and around 2.0 GeV for the state with the quark contents q s q_bar s_bar. The flavor structure 3_bar * 6_bar + 6 * 3 is preferred. Our analysis strongly indicates that both pi1(1600) and pi1(2015) are also compatible with the exotic tetraquark interpretation, which are sometimes labeled as candidates of the 1^{-+} hybrid mesons. Moreover one of their dominant decay modes is a pair of axial-vector and pseudoscalar mesons such as b1(1235) pi, which is sometimes considered as the characteristic decay mode of the hybrid mesons.
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A constituent quark model predicts masses of 1.9, 4.2, and 6.6 GeV for light, charmonium-like, and fully-charm 1^{-+} tetraquarks along with decay ratios for specific two-body channels and rules out η1(1855) as a compact tetraquark.
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Interaction and correlation functions for $\pi f_1(1285)$, $\eta f_1(1285)$
Using the fixed-center approximation, the π⁰(η) f₁(1285) interaction yields scattering parameters and correlation functions but no clear poles for the π₁(1400), π₁(1600), or η₁(1855) resonances, only a broad structure near 1500-1600 MeV and a cusp at the η f₁ threshold.
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Systematic study of exotic $1^{-+}$ tetraquark spectroscopy
A constituent quark model predicts masses of 1.9, 4.2, and 6.6 GeV for light, charmonium-like, and fully-charm 1^{-+} tetraquarks along with decay ratios for specific two-body channels and rules out η1(1855) as a compact tetraquark.