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Triangle Singularity in the Production of $X(3872)$ and a Photon in $e^+e^-$ Annihilation
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abstract
If the $X(3872)$ is a weakly bound charm-meson molecule, it can be produced in $e^+ e^-$ annihilation by the creation of $D^{*0} \bar D^{*0}$ 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 $D^{*0} \bar{D}^{*0}$ 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.
Forward citations
Cited by 2 Pith papers
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Production of $X(3872)$ and a Photon in $e^+e^-$ Annihilation
If X(3872) is a charm-meson molecule, e+e- -> X gamma has a narrow triangle-singularity peak at 2.2 MeV above the D*0 Dbar*0 threshold, with a peak cross section near 0.5 pb.
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Branching Fractions of the $X(3872)$
If the X(3872) is a weakly bound charm-meson molecule, its J/psi pi+ pi- branching fraction lies between roughly 4% and 33%, and is likely several times larger than the measured resonance-feature fraction.
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