Triangle relations for XYZ states

Abstract

We propose novel triangle relations, not the well-known triangle singularity, for better understanding of the exotic XYZ states. Nine XYZ resonances, X(3872), Y(4230), Zc(3900), X(4012), Y(4360/4390), Zc(4020), X(4274), Y(4660), and Zcs(3985) have been classified into triples to construct three triangles based on the assumption that they are all tetra-quark states. We also suggest some channels deserving search for with high priority based on this hypothesis, as well as predictions of a few production/decay rates of these channels. We hope further experimental studies of the XYZ states will benefit from our results.

arXiv comment9 pages, 3 figures, 2 tables

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• Study of the process $e^{+}{e}^{-}\to {\pi }^0{\pi }^{0}J/\psi$ and neutral charmonium-like state $Z_c(3900{)}^0$
• Study of open-charm decays and radiative transitions of the X(3872)
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• Cross section measurement of $e^{+}{e}^{-}\to {\eta }^{\prime }J/\psi$ from $\sqrt{s}=4.178$ to $4.600$ GeV
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• Search for the reaction channel $e^{+}{e}^{-}\to {\eta }_c\eta {\pi }^{+}{\pi }^{-}$ at center-of-mass energies from 4.23 to 4.60 GeV
• Search for the reaction $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\chi }_{cJ}$ and a charmonium-like structure decaying to ${\chi }_{cJ}{\pi }^{\pm }$ between 4.18 and 4.60 GeV

Cited by in corpus (11)

• An updated review of the new hadron states
• 50 Years of Quantum Chromodynamics
• Hadronic molecules in B decays
• Observation of the $Y(4230)$ and a new structure in $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$
• Magnetic dipole moment of the $Z_{cs}(3985)$ state: diquark-antidiquark and molecular pictures
• Is $Z_{cs}(3982)$ a molecular partner of $Z_c(3900)$ and $Z_c(4020)$ states?
• Magnetic dipole moments of the $Z_c(4020{)}^{+}$, $Z_c(4200{)}^{+}$, $Z_{cs}(4000{)}^{+}$ and $Z_{cs}(4220{)}^{+}$ states in light-cone QCD
• Selecting the physical solution via $\eta$-${\eta }^{\prime }$ mixing
• The $Z_{cs}$ states and the mixture of hadronic molecule and diquark-anti-diquark components within effective field theory
• Hunting for the heavy quark spin symmetry partner of $Z_{cs}$
• Search for $e^{+}{e}^{-}\to \varphi {\chi }_{c0}$ and $\varphi {\eta }_{c2}(1D)$ at center-of-mass energies from 4.47 to 4.95 GeV