Study of X(5568) in a unitary coupled-channel approximationof BK and Bsπ

  • The potential of the m B meson and the pseudoscalar meson is constructed up to the next-to-leading order Lagrangian, and then the m BK and m Bs π interaction is studied in the unitary coupled-channel approximation. A resonant state with a mass about 5568 MeV and JP=0+ is generated dynamically, which can be associated with the X(5568) state announced by the D0 Collaboration recently. The mass and the decay width of this resonant state depend on the regularization scale in the dimensional regularization scheme, or the maximum momentum in the momentum cutoff regularization scheme. The scattering amplitude of the vector B meson and the pseudoscalar meson is calculated, and an axial-vector state with a mass near 5620 MeV and JP=1+ is produced. Their partners in the charm sector are also discussed.
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Bao-Xi Sun, Fang-Yong Dong and Jing-Long Pang. Study of X(5568) in a unitary coupled-channel approximationof BK and Bsπ[J]. Chinese Physics C, 2017, 41(7): 074104. doi: 10.1088/1674-1137/41/7/074104
Bao-Xi Sun, Fang-Yong Dong and Jing-Long Pang. Study of X(5568) in a unitary coupled-channel approximationof BK and Bsπ[J]. Chinese Physics C, 2017, 41(7): 074104.  doi: 10.1088/1674-1137/41/7/074104 shu
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Received: 2017-01-04
Revised: 2017-03-05
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Study of X(5568) in a unitary coupled-channel approximationof BK and Bsπ

    Corresponding author: Bao-Xi Sun,
  • 1. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
  • 2. Department of Physics, Peking University, Beijing 100871, China
  • 3.  College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
  • 4.  Department of Physics, Peking University, Beijing 100871, China

Abstract: The potential of the m B meson and the pseudoscalar meson is constructed up to the next-to-leading order Lagrangian, and then the m BK and m Bs π interaction is studied in the unitary coupled-channel approximation. A resonant state with a mass about 5568 MeV and JP=0+ is generated dynamically, which can be associated with the X(5568) state announced by the D0 Collaboration recently. The mass and the decay width of this resonant state depend on the regularization scale in the dimensional regularization scheme, or the maximum momentum in the momentum cutoff regularization scheme. The scattering amplitude of the vector B meson and the pseudoscalar meson is calculated, and an axial-vector state with a mass near 5620 MeV and JP=1+ is produced. Their partners in the charm sector are also discussed.

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