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The puzzle of excessive non-$D\bar D$ component of the inclusive $\psi(3770)$ decay and the long-distant contribution
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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 $\psi(3770)\to D\bar D\to J/\psi\eta, \rho\pi, \omega\eta, K^*K$. Our results show that the branching ratio of $\psi(3770)\to \mathrm{non}-D\bar{D}$ can reach up to $\mathcal{B}_{\mathrm{non}-D\bar{D}}^{FSI}=(0.2\sim1.1)%$ 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.
Forward citations
Cited by 3 Pith papers
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Two-body Hidden Charm Decays of $D$ Wave Charmonia
Using a meson-loop model calibrated to psi(3770) to J/psi eta, the paper predicts Gamma(psi2(3823) to J/psi eta) = 29.6 keV and smaller eta_c omega and psi3(3842) rates.
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Discovery potential of charmonium $2P$ states through the $e^+e^- \to \gamma D\bar{D}$ processes
Using the measured e+e- -> gamma X(3872) cross section as a reference, the authors predict measurable e+e- -> gamma chi_c0(2P) and e+e- -> gamma chi_c2(2P) production and propose the gamma D Dbar final state as a sear...
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Unquenched Charmonium and Beyond
This Lanzhou-group review argues that coupled-channel (unquenched) effects, not exotic constituents, are the common thread explaining charmonium anomalies from the rho-pi puzzle to the Y-problem states.
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