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arXiv 0705.2559hep-phhep-lat
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夸克偶素能在解除禁闭后存活吗?

Can quarkonia survive deconfinement ?

Agnes Mocsy, Peter Petreczky

摘要:

本文利用势模型和微扰QCD相结合的方法,研究了零温和有限温条件下只有重夸克的QCD中的夸克偶素微扰子和谱函数。首先,我们证明了这种方法可以描述零温下的夸克偶素关联函数。利用一类基于静态夸克-反夸克自由能格点计算的屏蔽势,计算了有限温度下的谱函数。我们发现,所有的夸克偶素状态,除了$1S$ bottomonium,在温度小于$1.5T_c$,在最近的研究结论相矛盾的解除限制相溶解。尽管如此,我们的模型很好地再现了在晶格上计算的夸克偶素关联函数的温度依赖性。我们还发现,即使在没有共振的光谱函数在高温下显着增强的光谱函数对应于自由夸克反夸克传播。

英文摘要:

We study quarkonium correlators and spectral functions at zero and finite temperature in QCD with only heavy quarks using potential models combined with perturbative QCD. First, we show that this approach can describe the quarkonium correlation function at zero temperature. Using a class of screened potentials based on lattice calculations of the static quark-antiquark free energy we calculate spectral functions at finite temperature. We find that all quarkonium states, with the exception of the $1S$ bottomonium, dissolve in the deconfined phase at temperatures smaller than $1.5T_c$, in contradiction with the conclusions of recent studies. Despite this the temperature dependence of the quarkonium correlation functions calculated on the lattice is well reproduced in our model. We also find that even in the absence of resonances the spectral function at high temperatures is significantly enhanced over the spectral function corresponding to free quark antiquark propagation.

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