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Heavy Hadronic Molecules Coupled with Multiquark States

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Abstract

We investigate the hidden-charm pentaquarks as a \(\varLambda _c{\bar{D}}^{(*)}-\varSigma _c^{(*)}{\bar{D}}^{(*)}\) hadronic molecule coupling to a compact five-quark state. The coupling to the compact state leads to an hadron short-range interaction generating an attraction. In addition, the one pion exchange potential (OPEP) as a long-range interaction is introduced by the Lagrangians satisfying the chiral and heavy quark spin symmetries. The OPEP has been known as a driving force to bind atomic nuclei, where the tensor term leading the coupled-channel effect generates a strong attraction. The mass degeneracy of heavy hadrons due to the heavy quark spin symmetry enhances the OPEP derived by the \(\pi D^{(*)}{\bar{D}}^{(*)}\) and \(\pi \varSigma _c^{(*)}\varSigma _c^{(*)}\) couplings. Introducing those interactions, we consistently explain the masses and widths of the \(P_c\) states reported by LHCb in 2019. The short range interaction has a dominant role to determine the energy-level structures, while the OPEP tensor term does the decay width.

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Acknowledgements

This work is supported in part by JSPS KAKENHI Grant Numbers JP20K14478 (Y.Y.), JP16K05361(C) (S.T. and M.T.), JP17K05441 (C), and Grants-in-Aid for Scientific Research on Innovative Areas (No.18H05407) (A.H.). This work is also supported in part by the “RCNP Collaboration Research network (COREnet)”.

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Authors and Affiliations

  1. Advanced Science Research Center, Japan Atomic Energy Agency (JAEA), Tokai, 319-1195, Japan

    Yasuhiro Yamaguchi

  2. Department of Physics, University of La Plata (UNLP), 49 y 115 cc. 67, 1900, La Plata, Argentina

    Hugo García-Tecocoatzi

  3. Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Genova, Via Dodecaneso 33, 16146, Genova, Italy

    Alessandro Giachino & Elena Santopinto

  4. Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki, Osaka, 567-0047, Japan

    Atsushi Hosaka

  5. Japan College of Social Work, Kiyose, Tokyo, 204-8555, Japan

    Sachiko Takeuchi

  6. Showa Pharmaceutical University, Machida, Tokyo, 194-8543, Japan

    Makoto Takizawa

Authors
  1. Yasuhiro Yamaguchi
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  2. Hugo García-Tecocoatzi
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  3. Alessandro Giachino
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  4. Atsushi Hosaka
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  5. Elena Santopinto
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  6. Sachiko Takeuchi
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  7. Makoto Takizawa
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Correspondence to Yasuhiro Yamaguchi.

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Yamaguchi, Y., García-Tecocoatzi, H., Giachino, A. et al. Heavy Hadronic Molecules Coupled with Multiquark States. Few-Body Syst 62, 33 (2021). https://doi.org/10.1007/s00601-021-01614-3

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