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Revisiting the b1 pi and rho pi decay modes of the 1-+ light hybrid state with light-cone QCD sum rules

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(2016)cite arxiv:1608.03028Comment: 12 pages, 7 figures, minor texts have been corrected.
DOI: 10.1103/PhysRevD.94.054037

Abstract

We study the $\rho\pi$ and $b_1\pi$ decay modes of the $1^-+$ light hybrid state within the framework of light-cone QCD sum rules. We use both the tensor current $\bar\psi\sigma_\mu\nu\psi$ and the derivative current $\psiD_\mu\gamma_5\psi$ as interpolating currents to calculate the partial decay width of the $b_1\pi$ decay mode. Comparing the sum rules obtained by using different currents, we obtain $\Gamma(\pi_1b_1\pi)$ = 8--23, 32--86 and 52--151\,MeV for $m_1^-+$ = 1.6, 1.8 and 2.0\,GeV respectively, which favour the results from the flux tube models and lattice simulations. We also use the tensor current to study the $\rho\pi$ decay mode, and although an extended stability criterion is needed, our results suggest a small partial decay width.

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