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arXiv 2007.10211hep-phnucl-th
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实时量子演化中的Bottomonium抑制和椭圆流

Bottomonium suppression and elliptic flow from real-time quantum evolution

Ajaharul Islam, Michael Strickland

摘要:

我们计算的抑制和椭圆流的bottomonium使用实时解决方案的薛定谔方程与一个现实的介质复值的潜力。为了模拟初始的生产,我们假设,在重夸克质量的限制,波函数可以描述为一个格子涂抹(高斯)狄拉克δ波函数。由此产生的末态量子力学重叠提供了所有bottomonium本征态的生存概率。我们的结果是在良好的协议与现有的数据$R_{AA}$作为$N_{\rm part}$和$p_T$收集在$\sqrt{s_{\rm NN}} =$ 5.02 TeV的功能。在$v_2$的各种状态的情况下,我们发现,路径长度依赖的$Υ(1s)$抑制的结果在相当小的$v_2$为$Υ(1s)$。我们对$10{-}90$ %中心性类中$Υ(1s)$的积分椭圆流的预测是$v_2[Υ(1s)] = 0.0026 \pm 0.0007$。我们还发现,由于他们的抑制增加,激发bottomonium状态有一个更大的椭圆流,我们预测$v_2[Υ(2s)]$和$v_2[Υ(3s)]$作为中心和横向动量的函数。与以前的研究类似,我们发现在低横动量下,底鎓态有可能具有负的$v_2$。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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