Mixing of X and Y states from QCD sum rules analysis |
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| Authors: | Ze-Sheng Chen Zhuo-Ran Huang Hong-Ying Jin TG Steele Zhu-Feng Zhang |
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| Affiliation: | 1. Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027,China2. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China3. Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, Saskatchewan, S7N 5E2, Canada4. Department of Physics, Ningbo University, Ningbo 315211, China |
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| Abstract: | We study \begin{document}$ \bar{Q}Q\bar{q}q $\end{document}![]() ![]() and \begin{document}$ \bar{Q}qQ\bar{q} $\end{document}![]() ![]() states as mixed states in QCD sum rules. By calculating the two-point correlation functions of pure states of their corresponding currents, we review the mass and coupling constant predictions of \begin{document}$ J^{PC} = 1^{++} $\end{document}![]() ![]() , \begin{document}$1^{--}$\end{document}![]() ![]() , and \begin{document}$ 1^{-+} $\end{document}![]() ![]() states. By calculating the two-point mixed correlation functions of \begin{document}$ \bar{Q}Q\bar{q}q $\end{document}![]() ![]() and \begin{document}$ \bar{Q}qQ\bar{q} $\end{document}![]() ![]() currents, we estimate the mass and coupling constants of the corresponding "physical state" that couples to both \begin{document}$ \bar{Q}Q\bar{q}q $\end{document}![]() ![]() and \begin{document}$ \bar{Q}qQ\bar{q} $\end{document}![]() ![]() currents. Our results suggest that for \begin{document}$ 1^{++} $\end{document}![]() ![]() states, the \begin{document}$ \bar{Q}Q\bar{q}q $\end{document}![]() ![]() and \begin{document}$ \bar{Q}qQ\bar{q} $\end{document}![]() ![]() components are more likely to mix, while for \begin{document}$ 1^{--} $\end{document}![]() ![]() and \begin{document}$ 1^{-+} $\end{document}![]() ![]() states, there is less mixing between \begin{document}$ \bar{Q}Q\bar{q}q $\end{document}![]() ![]() and \begin{document}$ \bar{Q}qQ\bar{q} $\end{document}![]() ![]() . Our results suggest the Y series of states have more complicated components. |
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| Keywords: | four-quark states QCD sum rules non-perturbative QCD |
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