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.

Version published in PRL, errors and typos corrected, references added

References in corpus (2)

• 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)

Cited by in corpus (14)

• Next-to-Leading-Order QCD Corrections to e^ + e^- -> J/ψ+gg at the B Factories
• The puzzle of excessive non-$D\bar{D}$ component of the inclusive $\psi (3770)$ decay and the long-distant contribution
• Towards a dynamical understanding of the non-$D\bar{D}$ decay of $\psi (3770)$
• QCD corrections to $J/\psi$ production in association with a $W$-boson at the LHC
• Predictions of Light Hadronic Decays of Heavy Quarkonium 1D_2 States in NRQCD
• Relativistic Correction to Color Octet J/psi Production at Hadron Colliders
• η transitions between charmonia with meson loop contributions
• Impact of the interference between the resonance and continuum amplitudes on vector quarkonia decay branching fraction measurements
• Prompt heavy quarkonium production in association with a massive (anti)bottom quark at the LHC
• Next-to-leading order QCD corrections to Higgs boson decay to quarkonium plus a photon
• Isospin violating decay of $\psi (3770)\to J/\psi +{\pi }^0$
• Next-to-leading order QCD corrections to ${\chi }_{cJ}{W}^{+}b$ associated production from top-quark decay
• Non-$D\bar{D}$ Decays into Light Meson Pairs of the $D$-Wave Charmonium ${\psi }_3(3842)$
• Measurements of charmonia decays from BESIII