Interpretation of $Y(4390)$ as an isoscalar partner of $Z(4430)$ from $D^{\ast }(2010){\bar{D}}_1(2420)$ interaction

Abstract

Invoked by the recent observation of $Y(4390)$ at BESIII, which is about 40 MeV below the $D^{\ast }(2010){\bar{D}}_1(2420)$ threshold, we investigate possible bound and resonance states from the $D^{\ast }(2010){\bar{D}}_1(2420)$ interaction with the one-boson-exchange model in a quasipotential Bethe-Salpeter equation approach. A bound state with quantum number $0^{-}(1^{--})$ is produced at 4384 MeV from the $D^{(}2010){\bar{D}}_1(2420)$ interaction, which can be related to experimentally observed $Y(4390)$. Another state with quantum number $1^{+}(1^{+})$ is also produced at $4461+i39$ MeV from this interaction. Different from the $0^{-}(1^{--})$ state, the $1^{+}(1^{+})$ state is a resonance state above the $D^{\ast }(2010){\bar{D}}_1(2420)$ threshold. This resonance state can be related to the first observed charged charmonium-like state $Z(4430)$, which has a mass about 4475 MeV measured above the threshold as observed at Belle and LHCb. Our result suggests that $Y(4390)$ is an isoscalar partner of the $Z(4430)$ as a hadronic-molecular state from the $D^{\ast }(2010){\bar{D}}_1(2420)$ interaction.

5 pages, 1 figure

References in corpus (16)

• Big-Bang Nucleosynthesis
• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Observation of the resonant character of the $Z(4430{)}^{-}$ state
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• The internal structures of the nucleon resonances $N(1875)$ and $N(2120)$
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• Exotic vector charmonium and its leptonic decay width
• Modeling Charmonium-$\eta$ Decays of $J^{PC}=1^{--}$ Higher Charmonia
• Analysis of the $Y(4220)$ and $Y(4390)$ as molecular states with QCD sum rules
• Exotic Four Quark Matter: $Z_1(4475)$
• Molecular Interpretation of the Supercharmonium State Z(4475)

Cited by in corpus (14)

• The $XYZ$ states: experimental and theoretical status and perspectives
• Pentaquark and Tetraquark states
• Constructing $J/\psi$ family with updated data of charmoniumlike $Y$ states
• Vector tetraquark state candidates: $Y(4260/4220)$, $Y(4360/4320)$, $Y(4390)$ and $Y(4660/4630)$
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Newly observed $X(4630)$: a new charmoniumlike molecule
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
• Y(4626) as a molecular state from interaction $D_s^{\ast }{\bar{D}}_{s1}(2536)-D_s{\bar{D}}_{s1}(2536)$
• Are the XYZ states unconventional states or conventional states with unconventional properties?
• Analysis of the possible $D{\bar{D}}_{s0}^{\ast }(2317)$ and $D^{\ast }{\bar{D}}_{s1}^{\ast }(2460)$ molecules with QCD sum rules
• Probing exotic $J^{PC}$ resonances from deeply bound charmoniumlike molecules: Insights for identifying exotic hadrons
• $D$ wave charmonia
• Hadronic molecules and multiquark states