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.

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

References in corpus (9)

• 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
• 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
• QCD prediction for the non-$D\bar{D}$ annihilation decay of $\psi (3770)$
• The dispersive contribution of $\rho (1450,1700)$ decays and X(1576)
• X(1576) and the Final State Interaction Effect

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• Observation of $e^{+}{e}^{-}\to {\chi }_{c0}\omega$ and missing higher charmonium $\psi (4S)$
• Long-distant contribution and ${\chi }_{c1}$ radiative decays to light vector meson
• Prediction of anomalous ${\rm Y}(5S)\to {\rm Y}(1^3{D}_J)\eta$ transitions
• η transitions between charmonia with meson loop contributions
• Exploring the ${\rm Y}(6S)\to {\chi }_{bJ}\varphi$ and ${\rm Y}(6S)\to {\chi }_{bJ}\omega$ hidden-bottom hadronic transitions
• Isospin violating decay of $\psi (3770)\to J/\psi +{\pi }^0$
• $B^{(\ast )}{\bar{B}}^{(\ast )}$ intermediate state contribution to ${\rm Y}(4S,5S)\to {\eta }_b+\gamma$ radiative decay