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  • Letter
  • Open Access

Excited K meson, Kc(4180), with hidden charm as a DD¯K bound state

Tian-Wei Wu1, Ming-Zhu Liu2, and Li-Sheng Geng1,3,4,5,*

  • 1School of Physics, Beihang University, Beijing 102206, China
  • 2School of Space and Environment, Beihang University, Beijing 102206, China
  • 3Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, Beijing 100191, China
  • 4Beijing Advanced Innovation Center for Big Data-Based Precision Medicine, School of Medicine and Engineering, Beihang University, Beijing 100191, China
  • 5School of Physics and Microelectronics, Zhengzhou University, Zhengzhou, Henan 450001, China

  • *Corresponding author. lisheng.geng@buaa.edu.cn
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Phys. Rev. D 103, L031501 – Published 23 February, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.L031501

Abstract

Motivated by the recent discovery of two new states in the B+→D+D−K+ decay by the LHCb Collaboration, we study the DD¯K three-body system by solving the Schrödinger equation with the Gaussian Expansion Method. We show that the DD¯K system can bind with quantum numbers I(JP)=12(0−) and a binding energy of B3(DD¯K)=48.9−2.4+1.4  MeV. It can decay into J/ψK and DsD¯* via triangle diagrams, yielding a partial decay width of about 1 MeV. As a result, if discovered, it will serve as a highly nontrivial check on the nature of the many exotic hadrons discovered so far and on nonperturbative QCD as well. Assuming heavy quark spin symmetry, the same formalism is applied to study the DD¯*K system, which is shown to also bind with quantum numbers I(JP)=12(1−) and a binding energy of B3(DD¯*K)≃77.3−6.6+3.1  MeV, consistent with the results of previous works.

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Phys. Rev. D 103, L031501– Published 23 February, 2021
  • Received 4 December 2020
  • Accepted 28 January 2021
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