Abstract

We investigate known exact solutions of hydrodynamics and derive analytic formulas for the polarization of baryons produced at freeze-out. Such polarization (observed in high energy heavy-ion experiments) carries information on the time evolution of the quark-gluon plasma (sQGP), and our results give first analytic insight into the connection between this type of measurements and dynamical properties of the sQGP (e.g. vorticity). We present results for a rotating and acceleratingly expanding solution and also give hints on how to calculate the polarization using a rotating extension of the Buda–Lund parameterization.

中文翻译：

---

极化重子产生的解析模型研究

摘要

我们研究了流体动力学的已知精确解，并得出了冻结时产生的重子极化的解析公式。这种极化（在高能重离子实验中观察到）可携带有关夸克-胶子等离子体（sQGP）的时间演化的信息，我们的结果为这种类型的测量与sQGP的动力学性质之间的联系提供了第一分析见解（例如涡度）。我们给出了旋转加速扩展解的结果，并给出了如何使用Buda-Lund参数化旋转扩展来计算极化的提示。