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arXiv 0802.1849hep-phhep-ex
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$ψ(3770)$的非$D\bar D$湮没衰变的QCD预测

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

Zhi-Guo He, Ying Fan, Kuang-Ta Chao

摘要:

为了澄清BES和CLEO对$1^{3}D_{1}$主导的粲偶素$ψ(3770)$的非$D\bar D$衰变的测量结果的显著差异,我们计算了NRQCD中$ψ(3770)$的湮灭衰变.通过引入色八隅体贡献,结果不受红外发散的影响。通过求解演化方程估计了色八重态矩阵元。发现S-D混合效应非常小。使用$m_{c}=1.5\pm0.1\textrm{GeV}$,我们的结果是$Γ(ψ(3770)\to \textrm{light hadrons})=467^{-187}_{+338}\textrm{KeV}$。对于GeV的$m_c=1.4$,加上观测到的强子跃迁和E1跃迁,$ψ(3770)$的非$D\bar D$衰变分支比可以达到5%左右.我们的结果不支持BES和CLEO合作的结果,并敦促进一步的实验测试。

英文摘要:

To clarify the marked difference between BES and CLEO measurements on the non-$D\bar D$ decays of the $ψ(3770)$, a $1^{3}D_{1}$-dominated charmonium, we calculate the annihilation decay of $ψ(3770)$ 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 $m_{c}=1.5\pm0.1\textrm{GeV}$ our result is $Γ(ψ(3770)\to \textrm{light hadrons})=467^{-187}_{+338}\textrm{KeV}$. For $m_c=1.4$ GeV, together with the observed hadronic transitions and E1 transitions, the non-$D\bar D$ decay branching ratio of $ψ(3770)$ could reach about 5%. Our results do not favor either of the results of BES and CLEO collaborations, and further experimental tests are urged.

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