Unified Fano-like interference picture for charmonium-like states $Y(4008)$, $Y(4260)$ and $Y(4360)$

Abstract

We propose that the unified Fano-like interference picture applies to $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ and $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\psi (3686)$, where $Y(4260)$ and $Y(4360)$ are observed, respectively, to provide a reasonable interpretation of the asymmetric lines hapes of $Y(4260)$ and $Y(4360)$ structures. Moreover, the Fano-like interference induces an extra broad structure $Y(4008)$ in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ as a companion peak to $Y(4260)$. Three charmonium-like states $Y(4008)$, $Y(4260)$ and $Y(4360)$ observed in $e^{+}{e}^{-}$ annihilation processes are not genuine resonances. Under this scenario, it is well explained why $Y(4008)$, $Y(4260)$ and $Y(4360)$ are absent in the experimental data of the $R$ value scan and missing in open-charm decay channels. Although the present work presents a typical application of the Fano-like interference in particle physics at the lower energy region, we have reason to believe that the Fano-like phenomena may exist in other processes such as $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\psi (3770)$ and $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$, which will be accessible at BESIII and forthcoming BelleII.

5 pages, 4 figures and 1 table. More discussions and references added. Accepted by PRD

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Cited by in corpus (22)

• Pentaquark and Tetraquark states
• Constructing $J/\psi$ family with updated data of charmoniumlike $Y$ states
• Lowest vector tetraquark states: $Y(4260/4220)$ or $Z_c(4100)$
• Are the $Y$ states around 4.6 GeV from $e^{+}{e}^{-}$ annihilation higher charmonia?
• Vector tetraquark state candidates: $Y(4260/4220)$, $Y(4360/4320)$, $Y(4390)$ and $Y(4660/4630)$
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Status of quarkonia - like negative and positive parity states in a relativistic confinement scheme
• Charmonium spectrum with a Dirac potential model in the momentum space
• Charmonium: Conventional and $XYZ$ States in a Relativistic Screened Potential Model
• Reconciling the X(2240) with the Y(2175)
• On the origin of the $Y(4260)$
• Precision measurements of ${\sigma }_B(e^{+}{e}^{-}\to K_S^0{K}^{\pm }{\pi }^{\mp })$ at center-of-mass energies between 3.8 and 4.6 GeV
• Can the $\psi (4040)$ explain the peak associated with $Y(4008)$?
• Production of the charmoniumlike state $Y(4220)$ through the $p\bar{p}\to Y(4220){\pi }^0$ reaction
• Universal non-resonant explanation to charmoniumlike structures $Z_c(3885)$ and $Z_c(4025)$
• Coupled square well model and Fano-phase correspondence
• Three-body strong decays of the $Y(4230)$ via the light-cone QCD sum rules
• Study of conventional and non-conventional scalar and vector mesons
• Prospects for observing the missing $2D$ and $1F$ charmonium states around 4 GeV
• Study of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\omega$ process at center-of-mass energies between 4.0 and 4.6 GeV
• Ballistic Lévy walk with rests: Escape from a bounded domain
• Pinpointing Physical Solutions in Y(4230) Decays