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Interpretation of the η1 (1855) as a KK̄1(1400) + c.c. molecule

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Abstract

An exotic state with JPC = 1−+, denoted by η1(1855), was observed by BESIII Collaboration recently in J/ψ → γηη′. The fact that its mass is just below the threshold of KK̄1(1400) stimulates us to investigate whether this exotic state can be interpreted as a KK̄1(1400) + c.c. molecule or not. Using the one boson exchange model, we show that it is possible for KK̄1(1400) with JPC = 1−+ to bind together by taking the momentum cutoff Λ ≳ 2 GeV and yield the same binding energy as the experimental value when Λ ≈ 2.5 GeV. In this molecular picture, the predicted branch ratio Br(η1(1855) → ηη′) ≈ 15% is consistent with the experimental results, which again supports the molecular explanation of η1(1855). Relevant systems, namely KK̄1(1400) with JPC = 1−− and KK̄1(1270) with JPC = 1−±, are also investigated, some of which can be searched for in the future experiments.

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Authors and Affiliations

  1. CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China

    Xiang-Kun Dong & Bing-Song Zou

  2. School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China

    Xiang-Kun Dong & Bing-Song Zou

  3. Helmholtz-Institut für Strahlen-und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, Bonn, D-53115, Germany

    Yong-Hui Lin

  4. School of Physics, Central South University, Changsha, 410083, China

    Bing-Song Zou

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  1. Xiang-Kun Dong
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  2. Yong-Hui Lin
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Correspondence to Bing-Song Zou.

Additional information

We thank Feng-Kun Guo, Xiao-Yu Li, Jia-Jun Wu, and Mao-Jun Yan for useful discussions. This work was supported by the National Natural Science Foundation of China (Grant Nos. 12070131001,11835015, and 12047503), the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) (Grant No. 196253076-TRR 110) through the funds provided to the Sino German Collaborative Research Center TRR110 Symmetries and the Emergence of Structure in QCD, and the Chinese Academy of Sciences (CAS) (Grant No. XDB34030000).

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Dong, XK., Lin, YH. & Zou, BS. Interpretation of the η1 (1855) as a KK̄1(1400) + c.c. molecule. Sci. China Phys. Mech. Astron. 65, 261011 (2022). https://doi.org/10.1007/s11433-022-1887-5

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