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Chinese Physics C > 2022, Vol. 46 > Issue(6): 063102 DOI: 10.1088/1674-1137/ac531a

Mixing ofXandYstates from QCD sum rules analysis

  • 1.

    Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027,China

  • 2.

    Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China

  • 3.

    Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, Saskatchewan, S7N 5E2, Canada

  • 4.

    Department of Physics, Ningbo University, Ningbo 315211, China

  • We study $ \bar{Q}Q\bar{q}q $ and $ \bar{Q}qQ\bar{q} $ 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 $ J^{PC} = 1^{++} $ , $1^{--}$ , and $ 1^{-+} $ states. By calculating the two-point mixed correlation functions of $ \bar{Q}Q\bar{q}q $ and $ \bar{Q}qQ\bar{q} $ currents, we estimate the mass and coupling constants of the corresponding "physical state" that couples to both $ \bar{Q}Q\bar{q}q $ and $ \bar{Q}qQ\bar{q} $ currents. Our results suggest that for $ 1^{++} $ states, the $ \bar{Q}Q\bar{q}q $ and $ \bar{Q}qQ\bar{q} $ components are more likely to mix, while for $ 1^{--} $ and $ 1^{-+} $ states, there is less mixing between $ \bar{Q}Q\bar{q}q $ and $ \bar{Q}qQ\bar{q} $ . Our results suggest the Yseries of states have more complicated components.
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Ze-Sheng Chen, Zhuo-Ran Huang, Hong-Ying Jin, T.G. Steele and Zhu-Feng Zhang. Mixing of X and Y states from QCD Sum Rules analysis[J]. Chinese Physics C. doi: 10.1088/1674-1137/ac531a
Ze-Sheng Chen, Zhuo-Ran Huang, Hong-Ying Jin, T.G. Steele and Zhu-Feng Zhang. Mixing of X and Y states from QCD Sum Rules analysis[J]. Chinese Physics C. doi:10.1088/1674-1137/ac531a shu
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