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

  • The D D *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 D D *interaction, a bound state slightly lower than the D D *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 B B *interaction, and a B B *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 theSU(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 theX(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 theD*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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