论文标题
实时量子演化的底部抑制和椭圆流
Bottomonium suppression and elliptic flow from real-time quantum evolution
论文作者
论文摘要
我们使用实时溶液对Schrödinger方程的实时解决方案计算底部底池的抑制和椭圆流，具有现实的中等体内复合物值。为了建模初始产量，我们假设在重夸克质量的极限中，可以通过晶格缝（高斯）狄拉克（Gaussian）狄拉克（Gaussian）Dirac Delta波功能来描述波功能。最终的最终量子力学重叠提供了所有底元特征态的生存概率。我们的结果与$ r_ {aa} $的可用数据非常吻合，作为$ n _ {\ rm part} $的函数，在$ \ sqrt {s _ {\ rm nn}}} = $ 5.02 tev处收集的$ p_t $。在各个州的$ v_2 $的情况下，我们发现$υ（1s）$抑制的路径长度依赖性导致$υ（1s）$的$ V_2 $相当小。我们对$ 10 { - } 90 $％中心级的$υ（1s）$的集成椭圆流的预测为$ v_2 [υ（1s）] = 0.0026 \ pm 0.0007 $。我们还发现，由于它们增加了抑制作用，激发的底池状态具有较大的椭圆流，并且我们对$ v_2 [υ（2s）] $和$ v_2 [υ（3S）] $进行预测，作为中心和横向动量的函数。与先前的研究类似，我们发现底部元态在低横向动量下可能具有负$ v_2 $。
We compute the suppression and elliptic flow of bottomonium using real-time solutions to the Schrödinger equation with a realistic in-medium complex-valued potential. To model the initial production, we assume that, in the limit of heavy quark masses, the wave-function can be described by a lattice-smeared (Gaussian) Dirac delta wave-function. The resulting final-state quantum-mechanical overlaps provide the survival probability of all bottomonium eigenstates. Our results are in good agreement with available data for $R_{AA}$ as a function of $N_{\rm part}$ and $p_T$ collected at $\sqrt{s_{\rm NN}} =$ 5.02 TeV. In the case of $v_2$ for the various states, we find that the path-length dependence of $Υ(1s)$ suppression results in quite small $v_2$ for $Υ(1s)$. Our prediction for the integrated elliptic flow for $Υ(1s)$ in the $10{-}90$% centrality class is $v_2[Υ(1s)] = 0.0026 \pm 0.0007$. We additionally find that, due to their increased suppression, excited bottomonium states have a larger elliptic flow and we make predictions for $v_2[Υ(2s)]$ and $v_2[Υ(3s)]$ as a function of centrality and transverse momentum. Similar to prior studies, we find that it is possible for bottomonium states to have negative $v_2$ at low transverse momentum.
