The impact of $S$-wave thresholds $D_{s1}{\bar{D}}_s+c.c.$ and $D_{s0}{\bar{D}}_s^{\ast }+c.c.$ on vector charmonium spectrum

Abstract

By investigating the very closely lied $D_{s1}{\bar{D}}_s+c.c.$ and $D_{s0}{\bar{D}}_s^{\ast }+c.c.$ thresholds at about 4.43 GeV we propose that the $\psi (4415)$ and $\psi (4160)$ can be mixing states between the dynamic generated states of the strong $S$-wave $D_{s1}{\bar{D}}_s+c.c.$ and $D_{s0}{\bar{D}}_s^{\ast }+c.c.$ interactions and the quark model states $\psi (4S)$ and $\psi (2D)$. We investigate the $J/\psi K\bar{K}$ final states and invariant mass spectrum of $J/\psi K$ to demonstrate that nontrivial lineshapes can arise from such a mechanism. This process, which goes through triangle loop transitions, is located in the vicinity of the so-called "triangle singularity (TS)" kinematics. As a result, it provides a special mechanism for the production of exotic states $Z_{cs}$, which is the strange partner of $Z_c(3900)$, but with flavor contents of $c\bar{c}q\bar{s}$ (or $c\bar{c}s\bar{q}$) with $q$ denoting $u/d$ quarks. The lineshapes of the $e^{+}{e}^{-}\to J/\psi K\bar{K}$ cross sections and $J/\psi K(J/\psi \bar{K})$ spectrum are sensitive to the dynamically generated state, and we demonstrate that a pole structure can be easily distinguished from open threshold CUSP effects if an exotic state is created. A precise measurement of the cross section lineshapes can test such a mixing mechanism and provide navel information for the exotic partners of the $Z_c(3900)$ in the charmonium spectrum.

arXiv comment10 pages, 8 figures. Revised version including discussions on the new data from BESIII; version to appear in Phys. Rev. D

References in corpus (45)

• Hadronic molecules
• Observation of a charged charmoniumlike structure in e+e- to pi+pi-J/psi at \sqrt{s}=4.26 GeV
• Multiquark Resonances
• Diquark-Antidiquarks with Hidden or Open Charm and the Nature of X(3872)
• Heavy-Quark QCD Exotica
• Observation of two charged bottomonium-like resonances in Y(5S) decays
• Observation of a charged charmoniumlike structure Z_c(4020) and search for the Z_c(3900) in e+e- to pi+pi-h_c
• Charmonium
• A review of the open charm and open bottom systems
• The D*0 D0bar threshold resonance
• Decoding the riddle of Y(4260) and $Z_c(3900)$
• How to reveal the exotic nature of the P_c(4450)
• Hadro-Charmonium
• Understanding the newly observed heavy pentaquark candidates
• Gluonic charmonium resonances at BaBar and Belle?
• The Possible Interpretations of Y(4260)
• Is X(3872) a molecule?
• Suppressed decay into open charm for the Y(4260) being an hybrid
• A Discussion on Triangle Singularities in the ${\Lambda }_b\to J/\psi K^{-}p$ Reaction
• The puzzle of anomalously large isospin violations in $\eta (1405/1475)\to 3\pi$
• An explanation of Belle states Z_b(10610) and Z_b(10650)
• Searching for observable effects induced by anomalous triangle singularities
• Could the near-threshold $XYZ$ states be simply kinematic effects?
• $Y(4260)$ as the first $S$-wave open charm vector molecular state?
• Exploring the threshold behavior and implications on the nature of Y(4260) and $Z_c(3900)$
• A New Hadron Spectroscopy
• $Z_b(10610)$ and $Z_b(10650)$ structures produced by the initial single pion emission in the ${\rm Y}(5S)$ decays
• Y(4260): hadronic molecule versus hadro-charmonium interpretation
• Interplay of quark and meson degrees of freedom in near-threshold states: A practical parametrisation for line shapes
• Possibility of measuring a0(980)-f0(980) mixing from J/psi -> phi a0
• A practical parametrization for line shapes of near-threshold states
• Role of a triangle singularity in the $\gamma p\to K^{+}\Lambda (1405)$ reaction
• Cusps and Exotic Charmonia
• Strong decays of higher charmonium states into open-charm meson pairs
• Production of $Y(4260)$ as a hadronic molecule state of $\bar{D}{D}_1+c.c.$ in $e^{+}{e}^{-}$ annihilations
• Observation of e+e- to K+K-J/psi via Initial State Radiation at Belle
• Enhanced breaking of heavy quark spin symmetry
• A very broad X(4260) and the resonance parameters of the 3D vector charmonium state
• Observation of $e^{+}{e}^{-}\to K\bar{K}J/\psi$ at center-of-mass energies from 4.189 to 4.600 GeV
• Searching for charmoniumlike states with hidden $s\bar{s}$
• Disentangling the role of the $Y(4260)$ in $e^{+}{e}^{-}\to D^{\ast }{\bar{D}}^{\ast }$ and $D_s^{\ast }{\bar{D}}_s^{\ast }$ via line shape studies
• The mixing of $D_{s1}(2460)$ and $D_{s1}(2536)$
• Some properties of the states at the hidden-strangeness mixed ${\frac{1}{2}}^{+}+{\frac{1}{2}}^{-}$ heavy meson pair threshold in $e^{+}{e}^{-}$ annihilation
• Equality of $e^{+}{e}^{-}$ production amplitudes for scalar-vector and pseudoscalar-axial heavy meson-antimeson pairs
• $S$ wave hidden charm - hidden strangeness production in $e^{+}{e}^{-}$ annihilation

Cited by in corpus (8)

• About the exotic structure of $Z_{cs}$
• Triangle singularity in the $J/\psi \to K^{+}{K}^{-}{f}_0(980)(a_0(980))$ decays
• ${\bar{D}}_s^{(\ast )}{D}^{(\ast )}$ molecular state with $J^P=1^{+}$
• Triangle singularities in ${\bar{B}}^0\to {\chi }_{c1}{K}^{-}{\pi }^{+}$ relevant to $Z_1(4050)$ and $Z_2(4250)$
• Pseudoscalar charmonium pair interactions via the Pomeron exchange mechanism
• Are the XYZ states unconventional states or conventional states with unconventional properties?
• $S$ wave hidden charm - hidden strangeness production in $e^{+}{e}^{-}$ annihilation
• Canonical interpretation of $Y(10750)$ and ${\rm Y}(10860)$ in the ${\rm Y}$ family