Can the $\psi (4040)$ explain the peak associated with $Y(4008)$?

Abstract

We study the well-known resonance $\psi (4040)$, corresponding to a $3^3{S}_1$ charm-anticharm vector state $\psi (3S)$, within a QFT approach, in which the decay channels into $DD$, $D^{\ast }D$, $D^{\ast }{D}^{\ast }$, $D_s{D}_s$ and $D_s^{\ast }{D}_s$ are considered. The spectral function shows sizable deviations from a Breit-Wigner shape (an enhancement, mostly generated by $D{D}^{\ast }$ loops, occurs); moreover, besides the $c\bar{c}$ pole of $\psi (4040)$, a second dynamically generated broad pole at $4$ GeV emerges. Naively, it is tempting to identify this new pole with the unconfirmed state $Y(4008).$ Yet, this state was not seen in the reaction $e^{+}{e}^{-}\to \psi (4040)\to D{D}^{\ast }$, but in processes with ${\pi }^{+}{\pi }^{-}J/\psi$ in the final state. A detailed study shows a related but different mechanism: a broad peak at $4$ GeV in the process $e^{+}{e}^{-}\to \psi (4040)\to D{D}^{\ast }\to {\pi }^{+}{\pi }^{-}J/\psi$ appears when $D{D}^{\ast }$ loops are considered. Its existence in this reaction is not necessarily connected to the existence of a dynamically generated pole, but the underlying mechanism - the strong coupling of $c\bar{c}$ to \ $D{D}^{\ast }$ loops - can generate both of them. Thus, the controversial state $Y(4008)$ may not be a genuine resonance, but a peak generated by the $\psi (4040)$ and $D^{\ast }D$ loops with ${\pi }^{+}{\pi }^{-}J/\psi$ in the final state.

arXiv comment16 pages, 6 figures, 2 tables

References in corpus (40)

• Heavy quarkonium: progress, puzzles, and opportunities
• The hidden-charm pentaquark and tetraquark states
• Study of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ and Observation of a Charged Charmonium-like State at Belle
• Measurement of e^+e^- to pi^+pi^-J/psi Cross Section via Initial State Radiation at Belle
• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• New Charmonium States in QCD Sum Rules: a Concise Review
• On the Mechanism of Open-Flavor Strong Decays
• Higher Charmonia and X,Y,Z states with Screened Potential
• A low-lying scalar meson nonet in a unitarized meson model
• UNDERSTANDING THE SCALAR MESON $q\bar{q}$ NONET
• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• On the nature of light scalar mesons from their large $N_c$ behavior
• Precise measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ cross section at center-of-mass energies from 3.77 to 4.60 GeV
• Charmonium Decays of $Y(4260), psi(4160), and psi(4040)
• Four-Quark Hadrons: an Updated Review
• Tetraquark Mesons in Large $N$ Quantum Chromodynamics
• Pion and sigma meson properties in a relativistic quark model
• Constituent quark model description of charmonium phenomenology
• Dynamical Generation of Scalar Mesons
• On the spectral functions of scalar mesons
• A covariant constituent quark/gluon model for the glueball-quarkonia content of scalar-isoscalar mesons
• Observation of ψ(4040) and ψ(4160) decay into ηJ/ψ
• B_{s1}(5830) and B_{s2}^*(5840)
• Non-exponential decay in quantum field theory and in quantum mechanics: the case of two (or more) decay channels
• Charmonium resonances in the 3.9 GeV/$c^2$ energy region and the $X(3915)/X(3930)$ puzzle
• $a_0(980)$ revisited
• Dynamical generation and dynamical reconstruction
• Meson masses within the model of induced nonlocal quark currents
• Phenomenology of Large N_c QCD
• $K_0^{\ast }(800)$ as a companion pole of $K_0^{\ast }(1430)$
• Non-ordinary light meson couplings and the $1/N_c$ expansion
• Unified Fano-like interference picture for charmonium-like states $Y(4008)$, $Y(4260)$ and $Y(4360)$
• Resonant parameters of the $Y(4220)$
• Modeling Charmonium-$\eta$ Decays of $J^{PC}=1^{--}$ Higher Charmonia
• Bound States of the Heavy Flavor Vector Mesons and Y(4008) and $Z_1^{+}(4050)$
• Line shape of ψ(3770) in e^+e^-\to D\bar D
• Spectral function of a scalar boson coupled to fermions
• Understanding the newly observed Y(4008) by Belle
• Is $Y(4008)$ possibly a $1^{--}$ $\psi (3^3{S}_1)$ state?
• Formation and Deformation of the $\psi (3770)$

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• $X(3872)$ as virtual companion pole of the charm-anticharm state ${\chi }_{c1}(2P)$
• Production of $\psi (4040)$, $\psi (4160)$, and $\psi (4415)$ mesons in strong interactions
• Dissociation cross sections of $\psi (3770)$, $\psi (4040)$, $\psi (4160)$, and $\psi (4415)$ mesons with nucleons