论文标题

使用子安装验收方法搜索QCD临界点的净 - 巴里昂较高矩及其对Net-Proton的期望

Study of net-baryon higher moments in PNJL model and their expectation for net-proton using the Subensemble Acceptance Method for the search of QCD critical point

论文作者

Sarkar, A., Deb, P., Mandal, Bidhan, Varma, R.

论文摘要

QCD相互作用物质的QCD相图最重要的部分之一是临界终点。据信,保守数量($ΔB$),网络充电($ΔQ$)和网络差异($ΔS$)等保守数量的非单调行为被认为是QCD关键终点(CEP)的签名。我们研究QCD临界点对Polyakov环中Net-Baryon矩的影响,增强了QCD的Nambu-Jona-Lasinio(PNJL)模型,具有六个夸克和八个夸克相互作用。该研究以类似于RHIC束能量扫描的能量进行(BES)。由于系统的局限性,实验测量的保守量很难,因此将Net-Proton,Net-Pion和Net-Kaon视为$ΔB$,$ΔQ$和$ΔS$的代理。因此,对不同模型的需求成为估计不同可观察物的价值的主要需求。在PNJL模型中计算出的高阶时刻(诸如偏度($ s $),kurtosis($κ$)及其系统量独立产品($ m/σ^{2},sσ$,$κσ^{2} $),这些模型在PNJL模型中计算出来,对较热和密集的培养基的相关长度很敏感,以使其更加重要,以使其更重要的介质,以使其更加重要的点。在HRG模型上,在亚汇期接受方法(SAM)中的最新研究表明,量度更高阶段对实验验收的依赖性。我们使用SAM分析了子量量系统内$κσ^{2} $的行为,用于各种接受分数。这些结果可以直接映射到总体积(保守数量)的子体积(粒子)的百分比。将结果与具有不同能量的恒星Net-Proton和质子数据进行比较,以了解临界点的存在。为了参考,还将结果与理论级别的灌肠和HRG模型进行了比较。

One of the most important parts of the QCD phase diagram of strongly interacting matter is the Critical End Point. The non-monotonic behavior of the conserved quantities like net-baryon ($ΔB$), net-charge ($ΔQ$), and net-strangeness ($ΔS$) are believed to be the signatures of the QCD Critical End Point (CEP) as a function of the energy. We study the effect of the QCD critical point on moments of net-baryon in the Polyakov loop enhanced Nambu-Jona-Lasinio (PNJL) model of QCD with six quark and eight quark interactions. The study is performed at energies similar to RHIC beam energy scan (BES). Experimentally measuring conserved quantities is difficult due to systematic limitations, therefore net-proton, net-pion, and net-kaon are measured as the proxy of $ΔB$, $ΔQ$, and $ΔS$. Thus the need for different models becomes predominant to estimate the value of different observables. Higher-order moments like skewness ($S$), kurtosis ($κ$), and their system volume independent products ($ M/σ^{2}, sσ$, $κσ^{2}$) which are calculated in the PNJL model, are sensitive to the produced correlation length of the hot and dense medium, making them more prone to search for the critical point. Recent studies in the subensemble acceptance method (SAM) on the HRG model shows the dependency of the measure higher order moment on the experimental acceptance. We used SAM to analyze the behavior of $κσ^{2}$ of net baryon distribution within the subvolume system for various acceptance fractions. These results can be directly mapped to the percentage of the subvolume (particle) of the total volume (conserved quantities). The results are compared to the STAR net-proton and proton data with different energies to understand the existence of critical point. For reference, results are also compared with the theoretical UrQMD and HRG models.

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