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Triangle singularity in the B^-to K^-π⁰X(3872) reaction and sensitivity to the X(3872) mass
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Triangle singularity in the $B^-\to K^-\pi^0X(3872)$ reaction and sensitivity to the $X(3872)$ mass
abstract
We have done a study of the $B^- \to K^- \pi^0 X(3872)$ reaction by means of a triangle mechanism via the chain of reactions: $B^- \to K^- D^{*0}\bar D^{*0}$; $D^{*0} \to \pi^0 D^0$; $D^0\bar D^{*0}\to X(3872)$. We show that this mechanism generates a triangle singularity in the $\pi^0 X(3872)$ invariant mass for a very narrow window of the $X(3872)$ mass, around the present measured values, and show that the peak positions and the shape of the mass distributions are sensitive to the $X(3872)$ mass, such that a measurement of the reaction can serve to improve on the present values of this mass. In particular, we point out that the $X(3872)$ mass relative to the $D^0\bar D^{*0}$ threshold may be extracted from the asymmetry of the $\pi^0X$ line shape.
Forward citations
Cited by 2 Pith papers
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Exploring $K\Xi^*$ and $K^*\Xi$ molecular states and the triangle singularity in the $K^- p \to K \Xi(1530)$ reaction
Proposes that a K* Ξ molecular state (Λ(2150)) generates a triangle singularity explaining the peak in K- p → K Ξ(1530), with distinct spin density matrix element variations as a testable signature.
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Searching for the pseudoscalar partner of $G(3900)$ via radiative $Y(4230)$ decays
Calculates B(Y(4230) → γ G0(3900)) = 3.8×10^{-5}–3.3×10^{-4} assuming P-wave molecular interpretations for both states and a triangle mechanism.
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