辐射衰变$J/ψ\to η_cγ$和$h_c\to η_cγ$的格点量子色动力学研究
Lattice QCD study of the radiative decays $J/ψ\to η_cγ$ and $h_c\to η_cγ$
摘要：
本文给出了与物理辐射$J/ψ\to η_cγ$和$h_c\to η_cγ$衰变有关的强子矩阵元的格点量子色动力学研究结果。我们用扭曲质量QCD作用量和$N_{\rm f}=2$轻动力学夸克，从四个晶格间距的计算，我们能够采取连续极限。除了参数化上述衰变的形状因子外，我们还计算了：（i）超精细分裂和获得的$Δ= 112\pm 4$ MeV，（ii）湮灭常数$f_{J/ψ}$，它与从测量的$Γ(J/ψ\to e^+e^-)$推断的一致。
英文摘要：
We present the results of our lattice QCD study of the hadronic matrix elements relevant to the physical radiative $J/ψ\to η_cγ$ and $h_c\to η_cγ$ decays. We used the twisted mass QCD action with $N_{\rm f}=2$ light dynamical quarks and from the computations made at four lattice spacings we were able to take the continuum limit. Besides the form factors parameterizing the above decays we also computed: (i) the hyperfine splitting and obtained $Δ= 112\pm 4$ MeV, (ii) the annihilation constant $f_{J/ψ}$ which agrees with the one inferred from the measured $Γ(J/ψ\to e^+e^-)$.
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