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X(3872) as a molecular $Dbar{D}^*$ state in the Bethe-Salpeter equation approach

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 Added by Zhenyang Wang
 Publication date 2017
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and research's language is English




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We discuss the possibility that the X(3872) can be a $Dbar{D}^*$ molecular bound state in the Bethe-Salpeter equation approach in the ladder and instantaneous approximations. We show that the $Dbar{D}^*$ bound state with quantum numbers $J^{PC}=1^{++}$ exists. We also calculate the decay width of $X(3872) rightarrow gamma J/psi$ channel and compare our result with those from previous calculations.

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We interpret the $X_1(2900)$ as an $S$-wave $bar{D}_1K$ molecular state in the Bethe-Salpeter equation approach with the ladder and instantaneous approximations for the kernel. By solving the Bethe-Salpeter equation numerically with the kernel containing one-particle-exchange diagrams and introducing three different form factors (monopole, dipole, and exponential form factors) in the verties, we find the bound state exists. We also study the decay width of the decay $X_1(2900)$ to $D^-K^+$.
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