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

Abstract

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

18pages,4 figures

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• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
• Charmonium states in a coupled-channel model
• Analyzing $\Xi (1620)$ in the molecule picture in the Bethe-Salpeter equation approach
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• $B_{s1}(5778)$ as a $B^{\ast }\bar{K}$ molecule in the Bethe-Salpeter equation approach
• $Z_c(3900)$ in a hadronic molecule and a triangle singularity approach at finite temperature
• Unified study of $B_s^0\to X(3872){\pi }^{+}{\pi }^{-}(K^{+}{K}^{-})$ and $B_s^0\to \psi (2S){\pi }^{+}{\pi }^{-}(K^{+}{K}^{-})$ processes