各向异性格点量子色动力学中高于Tc的Charmonia的存活
Survival of charmonia above Tc in anisotropic lattice QCD
摘要:
通过研究$J/Ψ$和$η_c$的能量和谱函数对边界条件的依赖性,我们发现了强有力的证据,证明了在QCD临界温度$T_c$以上,$J/Ψ$和$η_c$仍然是空间定域的$c\bar c$(准)束缚态。在有限体积盒中,出现了空间扩散状态的边界条件依赖性,而没有这样的依赖性出现空间紧凑的状态。在格点量子色动力学中,我们发现在$T\simeq(1.11-2.07)T_c$的$J/Ψ$和$η_c$通道中,$c\bar c$系统的能量几乎{\it no}空间边界条件依赖.我们还用最大熵方法研究了格点量子色动力学中$T_c$上粲夸克偶素的谱函数。在$1.62T_c$的3GeV附近,对应于$J/Ψ$和$η_c$的低峰存在{\it no}空间边界条件依赖性。这些事实表明$J/Ψ$和$η_c$作为$T_c < T < 2T_c$的紧凑$c\bar c$(准)束缚态存活。
英文摘要:
We find a strong evidence for the survival of $J/Ψ$ and $η_c$ as spatially-localized $c\bar c$ (quasi-)bound states above the QCD critical temperature $T_c$, by investigating the boundary-condition dependence of their energies and spectral functions. In a finite-volume box, there arises a boundary-condition dependence for spatially spread states, while no such dependence appears for spatially compact states. In lattice QCD, we find almost {\it no} spatial boundary-condition dependence for the energy of the $c\bar c$ system in $J/Ψ$ and $η_c$ channels for $T\simeq(1.11-2.07)T_c$. We also investigate the spectral function of charmonia above $T_c$ in lattice QCD using the maximum entropy method (MEM) in terms of the boundary-condition dependence. There is {\it no} spatial boundary-condition dependence for the low-lying peaks corresponding to $J/Ψ$ and $η_c$ around 3GeV at $1.62T_c$. These facts indicate the survival of $J/Ψ$ and $η_c$ as compact $c\bar c$ (quasi-)bound states for $T_c < T < 2T_c$.
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