重离子碰撞中控制夸克偶素动力学的能级结构
Energy hierarchies governing quarkonium dynamics in Heavy Ion Collisions
摘要：
在本文中，我们批判性地研究了决定夸克-胶子等离子体中夸克偶素动力学的能量尺度之间的层次结构。一个特别重要的作用是由物种的结合能（$E_b$）和中尺度的比例;温度（$T$）和德拜质量（$m_D$）。众所周知，如果这些比率远大于1，那么控制夸克偶素演化的主要过程是热胶子的离解（胶子离解）。另一方面，如果这个比率远小于1，那么夸克偶素动力学就由交换胶子的屏蔽和朗道阻尼所主导。在这里，我们表明，在大多数的演变，规模层次不属于任何限制，需要使用完整的结构的胶子光谱函数，以遵循动态的$Q\bar{Q}$对。这对我们研究介质中夸克偶子的量子动力学有重要意义。逆介质弛豫时间也是$\sim T$，并且如果$E_b$在幅度上与$T$相当（或更大），则$Q\bar{Q}$的量子演化在布朗近似内在时间上是非局部的。
英文摘要：
In this paper, we critically examine hierarchies between energy scales that determine quarkonium dynamics in the quark gluon plasma. A particularly important role is played by the ratio of the binding energy of species ($E_b$) and the medium scales; temperature ($T$) and Debye mass ($m_D$). It is well known that if these ratios are much larger than one then the dominant process governing quarkonium evolution is dissociation by thermal gluons (gluo-dissociation). On the other hand, if this ratio is much smaller than one then quarkonium dynamics is dominated by screening and Landau damping of the exchanged gluons. Here we show that over most of the evolution, the scale hierarchies do not fall in either limit and one needs to use the full structure of the gluonic spectral function to follow the dynamics of the $Q\bar{Q}$ pair. This has a significant bearing when we follow the quantum dynamics of quarkonia in the medium. The inverse medium relaxation time is also $\sim T$ and if $E_b$ is comparable (or larger) in magnitude to $T$, the quantum evolution of $Q\bar{Q}$ is non-local in time within the Brownian approximation.
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