The puzzle of excessive non-$D\bar{D}$ component of the inclusive $\psi (3770)$ decay and the long-distant contribution

Abstract

In this letter we suggest that the obvious discrepancy between theoretical prediction on the $\mathrm{non}-D\bar{D}$ decays of $\psi (3770)$ and data is to be alleviated by taking final state interaction (FSI) into account. By assuming that $\psi (3770)$ overwhelmingly dissociates into $D\bar{D}$, then the final state interaction induces a secondary process, we calculate the branching ratios of $\psi (3770)\to D\bar{D}\to J/\psi \eta ,\rho \pi ,\omega \eta ,K^{\ast }K$. Our results show that the branching ratio of $\psi (3770)\to \mathrm{non}-D\bar{D}$ can reach up to ${\mathcal{B}}_{\mathrm{non}-D\bar{D}}^{FSI}=(0.2\sim 1.1)$ while typical parameters $I=0.4$ GeV${}^{-2}$ and $\alpha =0.8\sim 1.3$ are adopted. This indicates that the FSI is obviously non-negligible.

arXiv comment6 pages, 4 figures, 1 tables. More references and discussions added, typos corrected. Accepted by Phys. Lett. B

References in corpus (28)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Phenomenology of Heavy Meson Chiral Lagrangians
• Final State Interactions in Hadronic B Decays
• Charmless Final States and S--D-wave mixing in the ${\psi }^{\prime \prime }$
• Measurement of Absolute Hadronic Branching Fractions of D Mesons and e^+ e^- --> D D-bar Cross Sections at the psi(3770)
• Decay channels and charmonium mass-shifts
• Measurements of the cross sections for $e^{+}{e}^{-}\to \mathrm{hadrons}$ at 3.650, 3.6648, 3.773 GeV and the branching fraction for $\psi (3770)\to \mathrm{non}-D\bar{D}$
• Measurements of the braching fractions for psi(3770)--> D0D0-bar,D+D-,DD-bar$ and the resonance parameters of psi(3770) and psi(2S)
• Decays of the X(3872) and ${\chi }_{c1}(2P)$ charmonium
• QCD Multipole Expansion and Hadronic Transitions in Heavy Quarkonium Systems
• Study on contributions of hadronic loops to decays of $J/\psi \to$ vector $+$ pseudoscalar mesons
• The Hidden Charm Decay of $X(3872),Y(3940)$ and Final State Interaction Effects
• Observation of psi(3770)--> pi pi J/psi and Measurement of Gamma_{ee}[psi(2S)]
• Evidence of psi(3770) non-DD-bar Decay to J/psi pi+pi-
• Decay of the psi(3770) to Light Hadrons
• Measurement of sigma(e^+e^- --> psi(3770) --> hadrons) at E_{cm}=3773 MeV
• J/psi couplings to charmed resonances and to pi
• Observation of psi(3770) --> gamma chi_c0
• First Observation of psi(3770) --> gamma chi_{c1} --> gamma gamma J/psi
• QCD prediction for the non-$D\bar{D}$ annihilation decay of $\psi (3770)$
• Search for Exclusive Multi-Body Non-DbarD Decays at the psi(3770)
• Relating multichannel scattering and production amplitudes in a microscopic OZI-based model
• The $\bar{c}c$ purity of $\psi (3770)$ and ${\psi }^{\prime }$ challenged
• Search for the non-D\barD Decay psi(3770) --> K_S^0 K_L^0
• The dispersive contribution of $\rho (1450,1700)$ decays and X(1576)
• X(1576) and the Final State Interaction Effect
• Search for psi(3770)\raρπat the BESII detector at the Beijing Electron-Positron Collider
• Branching ratios of the decays of psi(3770) and Upsilon(10580) into light hadrons

Cited by in corpus (44)

• Heavy quarkonium: progress, puzzles, and opportunities
• Hadronic molecules
• Effect of charmed meson loops on charmonium transitions
• Extraction of the light quark mass ratio from the decays psi' --> J/psi pi^0 (eta)
• Novel analysis of the decays psi' -> h_c pi^0 and eta_c'-> chi_{c0} pi^0
• Nonresonant explanation for the Y(4260) structure observed in the $e^{+}{e}^{-}\to J/\psi {\pi }^{+}{\pi }^{-}$ process
• Investigating possible decay modes of $Y(4260)$ under the $D_1(2420)\bar{D}+c.c$ molecular state ansatz
• Observation of $e^{+}{e}^{-}\to {\chi }_{c0}\omega$ and missing higher charmonium $\psi (4S)$
• Open charm effects in the explanation of the long-standing "$\rho \pi$ puzzle"
• Further understanding of the non-$D\bar{D}$ decays of $\psi (3770)$
• The lineshape of $\psi (3770)$ and low-lying vector charmonium resonance parameters in $e^{+}{e}^{-}\to D\bar{D}$
• Long-distant contribution and ${\chi }_{c1}$ radiative decays to light vector meson
• $D\bar{D}$ production and their interactions
• Prediction of anomalous ${\rm Y}(5S)\to {\rm Y}(1^3{D}_J)\eta$ transitions
• Study on the rare decays of $Y(4630)$ induced by final state interactions
• Using $X(3823)\to J/\psi {\pi }^{+}{\pi }^{-}$ to identify coupled-channel effects
• η transitions between charmonia with meson loop contributions
• Confirming the existence of a new higher charmonium $\psi (4500)$ by the newly released data of $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$
• Line-shape and poles of the $\psi (3770)$
• Understanding the branching ratios of χ_{c1}\toϕϕ, ωω, ωϕobserved at BES-III
• Exploring the ${\rm Y}(6S)\to {\chi }_{bJ}\varphi$ and ${\rm Y}(6S)\to {\chi }_{bJ}\omega$ hidden-bottom hadronic transitions
• Anomalous radiative transitions between $h_b(nP)$ and ${\eta }_b(mS)$ and hadronic loop effect
• Study of the anomalous cross-section lineshape of e^+e^-\to D\bar D at ψ(3770) with an effective field theory
• Role of the newly measured $B\to KD\bar{D}$ process to establish ${\chi }_{c0}(2P)$ state
• Potential observation of the ${\rm Y}(6S)\to {\rm Y}(1^3{D}_J)\eta$ transitions at Belle II
• Proposal of searching for the ${\rm Y}(6S)$ hadronic decays into ${\rm Y}(nS)$ plus ${\eta }^{(\prime )}$
• Predicted $\Lambda \bar{\Lambda }$ and ${\Xi }^{-}{\bar{\Xi }}^{+}$ decay modes of the charmoniumlike $Y(4230)$
• Hidden-charm decays of $X(3915)$ and $Z(3930)$ as the P-wave charmonia
• A novel explanation of charmonium-like structure in $e^{+}{e}^{-}\to \psi (2S){\pi }^{+}{\pi }^{-}$
• How higher charmonia shape the puzzling data of the $e^{+}{e}^{-}\to \eta J/\psi$ cross section
• Detecting the polarization in ${\chi }_{cJ}\to \varphi \varphi$ decays to probe hadronic loop effect
• Isospin violating decay of $\psi (3770)\to J/\psi +{\pi }^0$
• Examining coupled-channel effects in radiative charmonium transitions
• Puzzles in charmonium decays
• Higher strangeonium decays into light flavor baryon pairs like $\Lambda \bar{\Lambda }$, $\Sigma \bar{\Sigma }$, and $\Xi \bar{\Xi }$
• Production of charmonium ${\chi }_{cJ}(2P)$ plus one $\omega$ meson by $e^{+}{e}^{-}$ annihilation
• $B^{(\ast )}{\bar{B}}^{(\ast )}$ intermediate state contribution to ${\rm Y}(4S,5S)\to {\eta }_b+\gamma$ radiative decay
• About the creation of proton-anti-proton pair at electron-positron collider in the energy range of the mass $\Psi (3770)$
• Resonance parameters of the vector charmoniumlike state $G(3900)$
• Study of $\psi (3770)$ decaying to Baryon anti-Baryon Pairs
• Discovery potential of charmonium $2P$ states through the $e^{+}{e}^{-}\to \gamma D\bar{D}$ processes
• Charmonium decays into ${\Lambda }_c{\bar{\Lambda }}_c$ pair governed by the hadronic loop mechanism
• Non-$D\bar{D}$ Decays into Light Meson Pairs of the $D$-Wave Charmonium ${\psi }_3(3842)$
• Hidden-bottom hadronic decays of ${\rm Y}(10753)$ with a ${\eta }^{(\prime )}$ or $\omega$ emission