Prediction of a narrow exotic hadronic state with quantum numbers $J^{PC}=0^{--}$

Abstract

Lots of charmonium-like structures have been observed in the last two decades. Most of them have quantum numbers that can be formed by a pair of charm and anticharm quarks, thus it is difficult to unambiguously identify the exotic ones among them. In this Letter, by exploiting heavy quark spin symmetry, we present a robust prediction of the hadronic molecular scenario, where the $\psi (4230),\psi (4360)$ and $\psi (4415)$ are identified as $D{\bar{D}}_1,D^{\ast }{\bar{D}}_1$ and $D^{\ast }{\bar{D}}_2^{\ast }$ bound states, respectively. We show that a flavor-neutral charmonium-like exotic state with quantum numbers $J^{PC}=0^{--}$, denoted as ${\psi }_0(4360)$, should exist as a $D^{\ast }{\bar{D}}_1$ bound state. The mass and width of the ${\psi }_0(4360)$} are predicted to be $(4366\pm 18)$ MeV and less than 10 MeV, respectively. The ${\psi }_0(4360)$ is significant in two folds: no $0^{--}$ hadron has been observed so far, and a study of this state will enlighten the understanding of the mysterious vector mesons between 4.2 and 4.5 GeV, as well as the nature of previously observed exotic $Z_c$ and $P_c$ states. We propose that such an exotic state can be searched for in $e^{+}{e}^{-}\to \eta {\psi }_0(4360)$ and uniquely identified by measuring the angular distribution of the outgoing $\eta$ meson.

7+3 pages, 7 figures, 2 tables; version to be appeared in PRL

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Cited by in corpus (14)

• Observation of Three Charmoniumlike States with $J^{PC}=1^{--}$ in $e^{+}{e}^{-}\to D^{\ast 0}{D}^{\ast -}{\pi }^{+}$
• Systematic analysis of strange single heavy baryons ${\Xi }_c$ and ${\Xi }_b$
• Predicting isovector charmonium-like states from X(3872) properties
• Global coupled-channel analysis of $e^{+}{e}^{-}\to c\bar{c}$ processes in $\sqrt{s}=3.75-4.7$ GeV
• Radiative production and decays of the exotic ${\eta }_1^{\prime }(1855)$ and its siblings
• Highly excited and exotic fully-strange tetraquark states
• Fully-strange tetraquark states with the exotic quantum numbers $J^{PC}=0^{+-}$ and $2^{+-}$
• Probing exotic $J^{PC}$ resonances from deeply bound charmoniumlike molecules: Insights for identifying exotic hadrons
• Molecular states in $D_s^{(\ast )+}{\Xi }_c^{{(}^{\prime },\ast )}$ systems
• The ground states of hidden-charm tetraquarks and their radial excitations
• Three-body strong decays of the $Y(4230)$ via the light-cone QCD sum rules
• Hints of the $J^{PC}=0^{--}$ and $1^{--}$ $K^{\ast }{\bar{K}}_1(1270)$ Molecules in the $J/\psi \to \varphi \eta {\eta }^{\prime }$ Decay
• Hadronic molecules and multiquark states
• Pinpointing Physical Solutions in Y(4230) Decays