Triangle Singularity in the Production of $X(3872)$ and a Photon in $e^{+}{e}^{-}$ Annihilation

Abstract

If the $X(3872)$ is a weakly bound charm-meson molecule, it can be produced in $e^{+}{e}^{-}$ annihilation by the creation of $D^{\ast 0}{\bar{D}}^{\ast 0}$ from a virtual photon followed by the rescattering of the charm-meson pair into $X$ and a photon. A triangle singularity produces a narrow peak in the cross section for $e^{+}{e}^{-}\to X\gamma$ about 2.2 MeV above the $D^{\ast 0}{\bar{D}}^{\ast 0}$ threshold. We predict the normalized cross section in the region near the peak. The peak from the triangle singularity may be observable by the BESIII detector.

arXiv comment5 pages, 3 figures, published in Phys. Rev. D as Rapid Communication

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Cited by in corpus (18)

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• Triangle singularity in the $B^{-}\to K^{-}{\pi }^{0}X(3872)$ reaction and sensitivity to the $X(3872)$ mass
• Charm-meson Triangle Singularity in $e^{+}{e}^{-}$ Annihilation into $D^{\ast 0}{\bar{D}}^0+\gamma$
• Triangle singularity in $B^{-}\to K^{-}X(3872);X\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and the X(3872) mass
• Production of $X(3872)$ Accompanied by a Pion in $B$ Meson Decay
• Galilean-Invariant XEFT at Next-to-Leading Order
• Triangle singularity appearing as an $X(3872)$-like peak in $B\to (J/\psi {\pi }^{+}{\pi }^{-})K\pi$
• Production of $X(3872)$ and a Photon in $e^{+}{e}^{-}$ Annihilation
• Heating triangle singularities in heavy ion collisions
• Detecting the pure triangle sigularity effect through the $\psi (2S)\to p\bar{p}\eta /p\bar{p}{\pi }^0$ process
• Triangle singularity in $B^0\to {\pi }^{-}{K}^{+}X(3872)$ via the $D_{s1}\bar{D}{D}^{\ast }$ loop and possible precise measurement of the $X(3872)$ mass
• The role of triangle singularity in isospin breaking process $J/\psi \to \Lambda \bar{\Lambda }\pi$ and the possible evidence of ${\Sigma }^{\ast }({\frac{1}{2}}^{-})$ states
• On the precise measurement of the $X(3872)$ mass and its counting rate
• Photoproduction of the $X(3872)$ beyond vector meson dominance: the open-charm coupled-channel mechanism
• Proposal to detect a moving triangle singularity in $\psi (2S)\to {\pi }^{+}{\pi }^{-}{K}^{+}{K}^{-}$ process