The DD* interaction with isospin zero in an extended hidden gauge symmetry approach

  • The DD* interaction via a ρ or ω exchange is constructed within an extended hidden gauge symmetry approach, where the strange quark is replaced by the charm quark in the SU(3) flavor space. With this DD* interaction, a bound state slightly lower than the DD* threshold is generated dynamically in the isospin zero sector by solving the Bethe-Salpeter equation in the coupled-channel approximation, which might correspond to the X(3872) particle announced by many collaborations. This formulism is also used to study the BB* interaction, and a BB* bound state with isospin zero is generated dynamically, which has no counterpart listed in the review of the Particle Data Group. Furthermore, the one-pion exchange between the D meson and the D* is analyzed precisely, and we do not think the one-pion exchange potential need be considered when the Bethe-Salpeter equation is solved.
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Bao-Xi Sun, Da-Ming Wan and Si-Yu Zhao. The DD* interaction with isospin zero in an extended hidden gauge symmetry approach[J]. Chinese Physics C, 2018, 42(5): 053105. doi: 10.1088/1674-1137/42/5/053105
Bao-Xi Sun, Da-Ming Wan and Si-Yu Zhao. The DD* interaction with isospin zero in an extended hidden gauge symmetry approach[J]. Chinese Physics C, 2018, 42(5): 053105.  doi: 10.1088/1674-1137/42/5/053105 shu
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Received: 2017-11-22
Revised: 2018-02-17
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The DD* interaction with isospin zero in an extended hidden gauge symmetry approach

    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

Abstract: The DD* interaction via a ρ or ω exchange is constructed within an extended hidden gauge symmetry approach, where the strange quark is replaced by the charm quark in the SU(3) flavor space. With this DD* interaction, a bound state slightly lower than the DD* threshold is generated dynamically in the isospin zero sector by solving the Bethe-Salpeter equation in the coupled-channel approximation, which might correspond to the X(3872) particle announced by many collaborations. This formulism is also used to study the BB* interaction, and a BB* bound state with isospin zero is generated dynamically, which has no counterpart listed in the review of the Particle Data Group. Furthermore, the one-pion exchange between the D meson and the D* is analyzed precisely, and we do not think the one-pion exchange potential need be considered when the Bethe-Salpeter equation is solved.

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