Title: Ising-QCD phenomenology close to the critical point Show Chinese title

Title: Ising-QCD现象学接近临界点

Abstract: We employ the recently introduced Ising-QCD partition function (N.~G. Antoniou {\it et al.}, Phys. Rev. D 97, 034015 (2018)) to explore in detail the behaviour of the moments of the baryon-number, within the critical region around the critical endpoint. Our analysis is based on the relation of finite-size scaling in real space with intermittency in transverse momentum space. It demonstrates in practice the recent observation (N.~G. Antoniou {\it et al.}, Phys. Rev. D 97, 034015 (2018)) that combined measurements of the intermittency index $\phi_2$ and the freeze-out parameters $\mu_b$ (baryochemical potential), $T$ (temperature), provide us with a powerful tool to detect the critical point. We also show that the finite-size scaling (FSS) region, as a part of the critical region, is very narrow in both the chemical potential and the temperature direction, even for light nuclei. Furthermore, using published experimental results for $(\mu_b,T,\phi_2)$ in A+A collisions at $\sqrt{s_{NN}}=17.2$ GeV (NA49 experiment, CERN-SPS), we are able to make a set of predictions for the freeze-out states of Ar + Sc and Xe + La collisions at the same energy in the NA61/SHINE experiment (CERN-SPS). In particular, we find that the Ar + Sc system freezes out outside the FSS region but very close to its boundary, a property which may leave characteristic traces in intermittency analysis. Show Chinese abstract

Abstract: 我们采用最近引入的Ising-QCD划分函数（N.~G. Antoniou{\it 等}，Phys. Rev. D 97, 034015 (2018))，详细探讨临界区域附近重子数矩的行为。我们的分析基于实空间中的有限尺寸标度与横向动量空间中的间歇性之间的关系。它在实践中证明了最近的观察结果（N.~G. Antoniou{\it 等}，Phys. Rev. D 97, 034015 (2018))，即结合间歇性指数$\phi_2$和冻结参数$\mu_b$（重子化学势）、$T$（温度）的测量，为我们提供了一种强大的工具来检测临界点。我们还表明，有限尺寸标度（FSS）区域作为临界区域的一部分，在化学势和温度方向上都非常狭窄，即使对于轻核也是如此。此外，利用A+A碰撞中$(\mu_b,T,\phi_2)$在$\sqrt{s_{NN}}=17.2$GeV 的已发表实验结果（NA49实验，CERN-SPS），我们能够在NA61/SHINE实验（CERN-SPS）中对Ar + Sc和Xe + La碰撞的冻结状态做出一系列预测。特别是，我们发现Ar + Sc系统在FSS区域之外冻结，但非常接近其边界，这一特性可能在间歇性分析中留下特征痕迹。