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Exploring hidden-charm and hidden-strange hexaquark states from lattice QCD

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Abstract

Based on five different ensembles of newly generated (2+1)-flavor configurations with pion mass of approximately mπ≃(140–310) MeV, we present a lattice analysis of hidden-charm and hidden-strange hexaquarks with the quark content \(usc\bar d\bar s\bar c\). The correlation matrices of two types of operators with JPC = 0++, 0−+, 1++ and 1−− are simulated to extract the masses of the hexaquark candidates, which are subsequently extrapolated to the physical pion mass and continuum limit. The results indicate that ground state masses are below the \({\Xi _c}{{\bar \Xi }_c}\) threshold and provide a characteristic signal for the experimental discovery of hexaquark candidates, which may enrich the versatile structure of multiquarks; moreover, it is an indispensable step to decipher the nonperturbative nature of the fundamental interactions of quarks and gluons.

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Authors and Affiliations

  1. INPAC, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China

    Hang Liu, Jinchen He & Wei Wang

  2. Maryland Center for Fundamental Physics, Department of Physics, University of Maryland, College Park, Maryland, 20742, USA

    Jinchen He

  3. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China

    Liuming Liu & Peng Sun

  4. University of Chinese Academy of Sciences, Beijing, 100049, China

    Liuming Liu

  5. Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, 210023, China

    Peng Sun

  6. Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou, 516000, China

    Wei Wang & Yi-Bo Yang

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

    Yi-Bo Yang

  8. School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou, 310024, China

    Yi-Bo Yang

  9. International Centre for Theoretical Physics Asia-Pacific, Beijing, 100049, China

    Yi-Bo Yang

  10. International Centre for Theoretical Physics Asia-Pacific, Hangzhou, 310024, China

    Yi-Bo Yang

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

    Yi-Bo Yang

  12. School of Physics, Beihang University, Beijing, 102206, China

    Qi-An Zhang

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  1. Hang Liu
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  2. Jinchen He
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  3. Liuming Liu
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  4. Peng Sun
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Corresponding authors

Correspondence to Hang Liu or Wei Wang.

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Conflict of interest The authors declare that they have no conflict of interest.

Additional information

We thank Zhan-Wei Liu, Zhen-Xing Zhao, Min-Huan Chu, Jun Hua, and Chun-Jiang Shi for useful discussion. This work was supported by the National Natural Science Foundation of China (Grant Nos. 11735010, 11975127, 11911530088, U2032102,12005130, 12125503, and 12335003). Hang Liu, Jinchen He, and Wei Wang are also supported by the Natural Science Foundation ofShanghai (Grant No. 15DZ2272100). Peng Sun is also supported by Jiangsu Specially Appointed Professor Program. Yi-Bo Yang is also supported by the Strategic Priority Research Program of Chinese Academy of Sciences (Grant Nos. XDB34030303, and XDPB15). Peng Sun, Wei Wang, and Yi-Bo Yang are also supported by the National Natural Science Foundation ofChina (NSFC) and Deutsche Forschungsgemeinschaft (DFG) joint grant (Grant No. 12061131006). The calculation was supported by the Siyuan Mark 1 cluster at Center for High Performance Computing, Shanghai Jiao Tong University and National Super Computing Center in Zhengzhou.

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Liu, H., He, J., Liu, L. et al. Exploring hidden-charm and hidden-strange hexaquark states from lattice QCD. Sci. China Phys. Mech. Astron. 67, 211011 (2024). https://doi.org/10.1007/s11433-023-2205-0

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