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One Way to Verify the Molecular Picture of Exotic Hadrons: From \(\pmb {DK}\) to \(\pmb {DDK/D{\bar{D}}^{(*)}K}\)

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Abstract

Starting from 2003, a large number of the so-called exotic hadrons, such as X(3872) and \(D_{s0}^*(2317)\), were discovered experimentally. Since then, understanding the nature of these states has been a central issue both theoretically and experimentally. As many of these states are located close to two hadron thresholds, they are believed to be molecular states or at least contain large molecular components. We argue that if they are indeed molecular states, in the way that the deuteron is a bound state of proton and neutron, then molecular states of three or more hadrons are likely, in the sense that atomic nuclei are bound states of nucleons. Following this conjecture, we study the likely existence of DDK, \(D{\bar{D}}K\), and \(D{\bar{D}}^{*}K\) molecular states. We show that within the theoretical uncertainties of the two-body interactions deduced, they most likely exist. Furthermore, we predict their strong decays to help guide future experimental searches. In addition, we show that the same approach can indeed reproduce some of the known three-body systems from the two-body inputs, such as the deuteron-triton and the \(\varLambda (1405)\)-\({\bar{K}}NN\) systems.

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Notes

  1. For the two-body decay of the \(D{\bar{D}}^*K\) bound state, see Ref. [43].

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Acknowledgements

We thank M. P. Valderrama, E. Hiyama, Alberto Martínez Torres, Kanchan P. Khemchandani, Xiu-Lei Ren, Yin Huang, and Ya-Wen Pan for collaborations on some of the topics covered in this talk.

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

    Tian-Wei Wu & Ming-Zhu Liu

  2. School of Physics and Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, Beijing, 102206, China

    Li-Sheng Geng

  3. School of Physics and Microelectronics, Zhengzhou University, Zhengzhou, Henan, 450001, China

    Li-Sheng Geng

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This work is partly supported by the National Natural Science Foundation of China under Grants Nos.11735003, 11975041, and 11961141004, and the fundamental Research Funds for the Central Universities.

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Wu, TW., Liu, MZ. & Geng, LS. One Way to Verify the Molecular Picture of Exotic Hadrons: From \(\pmb {DK}\) to \(\pmb {DDK/D{\bar{D}}^{(*)}K}\). Few-Body Syst 62, 38 (2021). https://doi.org/10.1007/s00601-021-01619-y

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