Novel Method for Precisely Measuring the $X(3872)$ Mass

Abstract

The $X(3872)$ is the first and the most interesting one amongst the abundant $XYZ$ states. Its mass coincides exactly with the $D^0{\bar{D}}^{\ast 0}$ threshold with an uncertainty of 180 keV. Precise knowledge of its mass is crucial to understand the $X(3872)$. However, whether it is above or below the $D^0{\bar{D}}^{\ast 0}$ threshold is still unknown. We propose a completely new method to measure the $X(3872)$ mass precisely by measuring the $X(3872)\gamma$ line shape between 4010 and 4020 MeV, which is strongly sensitive to the $X(3872)$ mass relative to the $D^0{\bar{D}}^{\ast 0}$ threshold due to a triangle singularity. This method can be applied to experiments which produce copious $D^{\ast 0}{\bar{D}}^{\ast 0}$ pairs, such as electron-positron, proton-antiproton and other experiments, and may lead to much more precise knowledge about the $X(3872)$ mass.

Version to be published in Phys. Rev. Lett

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Cited by in corpus (44)

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• Study of the doubly charmed tetraquark $T_{cc}^{+}$
• Threshold cusps and triangle singularities in hadronic reactions
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Establishing the heavy quark spin and light flavor molecular multiplets of the $X(3872)$, $Z_c(3900)$ and $X(3960)$
• Revisit the isospin violating decays of $X(3872)$
• Exploring possible triangle singularities in the ${\Xi }_b^{-}\to K^{-}J/\psi \Lambda$ decay
• Where is the lightest charmed scalar meson?
• Triangle Singularity in the Production of $T_{cc}^{+}$(3875) and a Soft Pion
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• 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 the Production of $X(3872)$ and a Photon in $e^{+}{e}^{-}$ Annihilation
• Triangle singularity in $B^{-}\to K^{-}X(3872);X\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and the X(3872) mass
• Triangle singularities in $J/\psi \to \eta {\pi }^0\varphi$ and ${\pi }^0{\pi }^0\varphi$
• Production of $X(3872)$ Accompanied by a Pion in $B$ Meson Decay
• Revisiting $X(3872)\to D^0{\bar{D}}^0{\pi }^0$ in XEFT
• Predicting isovector charmonium-like states from X(3872) properties
• Galilean-Invariant XEFT at Next-to-Leading Order
• $D^{\pm }{D}^{\ast \mp }$ Hadronic Atom as a Key to Revealing the $X(3872)$ Mystery
• Hadronic decays of the heavy-quark-spin molecular partner of $T_{cc}^{+}$
• Triangle singularity appearing as an $X(3872)$-like peak in $B\to (J/\psi {\pi }^{+}{\pi }^{-})K\pi$
• Heavy hadron molecules in effective field theory: the emergence of exotic nuclear landscapes
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• Decay $X(3872)\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and $S$-wave $D^0{\bar{D}}^0\to {\pi }^{+}{\pi }^{-}$ scattering length
• Production of $X(3872)$ and a Photon in $e^{+}{e}^{-}$ Annihilation
• Heating triangle singularities in heavy ion collisions
• The role of $D_{(s)}^{\ast }$ and their contributions in $B_{(s)}\to D_{(s)}h{h}^{\prime }$ decays
• Substructure of Multiquark Hadrons (Snowmass 2021 White Paper)
• 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
• Detecting the pure triangle sigularity effect through the $\psi (2S)\to p\bar{p}\eta /p\bar{p}{\pi }^0$ process
• Is the X(3872) a bound state ?
• Radiative decays of the heavy-quark-spin molecular partner of $T_{cc}^{+}$
• 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
• Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules
• 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
• Study of $e^{+}{e}^{-}\to {\pi }^{0}X(3872)\gamma$ and search for $Z_c(4020{)}^0\to X(3872)\gamma$
• Branching Fractions of the $X(3872)$
• Proposal to detect a moving triangle singularity in $\psi (2S)\to {\pi }^{+}{\pi }^{-}{K}^{+}{K}^{-}$ process
• Model-independent mass determination of near-threshold states from short-range production
• What can we learn from the radiative decays of the $D_{s1}(2460)$ meson?
• An $X(3872)$-like peak in $B\to (J/\psi {\pi }^{+}{\pi }^{-})K\pi$ due to triangle singularity