QCD prediction for the non-$D\bar{D}$ annihilation decay of $\psi (3770)$

Abstract

To clarify the marked difference between BES and CLEO measurements on the non-$D\bar{D}$ decays of the $\psi (3770)$, a $1^3{D}_1$-dominated charmonium, we calculate the annihilation decay of $\psi (3770)$ in NRQCD. By introducing the color-octet contributions, the results are free from infrared divergences. The color-octet matrix elements are estimated by solving the evolution equations. The S-D mixing effect is found to be very small. With $m_c=1.5\pm 0.1\text{GeV}$ our result is $\Gamma (\psi (3770)\to \text{light hadrons})=467_{+338}^{-187}\text{KeV}$. For $m_c=1.4$ GeV, together with the observed hadronic transitions and E1 transitions, the non-$D\bar{D}$ decay branching ratio of $\psi (3770)$ could reach about 5%. Our results do not favor either of the results of BES and CLEO collaborations, and further experimental tests are urged.

arXiv commentVersion published in PRL, errors and typos corrected, references added

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Cited by in corpus (30)

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• Towards a dynamical understanding of the non-$D\bar{D}$ decay of $\psi (3770)$
• Relativistic Correction to J/psi and Upsilon Pair Production
• QCD corrections to $J/\psi$ production in association with a $W$-boson at the LHC
• 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 $e^{+}{e}^{-}\to D\bar{D}$
• Predictions of Light Hadronic Decays of Heavy Quarkonium 1D_2 States in NRQCD
• Relativistic Correction to Color Octet J/psi Production at Hadron Colliders
• Relativistic Correction to J/ψProduction at Hadron Colliders
• η transitions between charmonia with meson loop contributions
• NRQCD Predictions of D-Wave Quarkonia ${}^3{D}_J(J=1,2,3)$ Decay into Light Hadrons at Order ${\alpha }_s^3$
• Study of the anomalous cross-section lineshape of e^+e^-\to D\bar D at ψ(3770) with an effective field theory
• Study of the branching ratio of $\psi (3770)\to D\bar{D}$ in $e^{+}{e}^{-}\to D\bar{D}$ scattering
• ${\alpha }_s{v}^2$ corrections to ${\eta }_c$ and ${\chi }_{cJ}$ production recoiled with a photon at $e^{+}{e}^{-}$ colliders
• Prompt heavy quarkonium production in association with a massive (anti)bottom quark at the LHC
• B-meson Semi-inclusive Decay to $2^{-+}$ Charmonium in NRQCD and X(3872)
• Impact of the interference between the resonance and continuum amplitudes on vector quarkonia decay branching fraction measurements
• Next-to-leading order QCD corrections to Higgs boson decay to quarkonium plus a photon
• Isospin violating decay of $\psi (3770)\to J/\psi +{\pi }^0$
• Puzzles in charmonium decays
• Search for $C=+$ charmonium and XYZ states in $e^{+}{e}^{-}\to \gamma +H$ at BESIII
• Electronic width of the $\psi (3770)$ resonance interfering with the background
• Study of $\psi (3770)$ decaying to Baryon anti-Baryon Pairs
• Associated production of ${\rm Y}(1S)W$ at LHC in next-to-leading order QCD
• Next-to-leading order QCD corrections to ${\chi }_{cJ}{W}^{+}b$ associated production from top-quark decay
• General Form of $s$, $t$, $u$ Symmetric Polynomial and Heavy Quarkonium physics
• Overview of charmonium decays and production from Non-Relativistic QCD
• Measurements of charmonia decays from BESIII
• Non-$D\bar{D}$ Decays into Light Meson Pairs of the $D$-Wave Charmonium ${\psi }_3(3842)$