AI 中文总结
该研究构建用于动力学横向动量关联\(C_{pT}\)的理论基线，开发统一框架描述其能量和中心度依赖性，采用有限重子化学势下格点量子色动力学结果的EOS输入，为解释横向动量涨落及寻找量子色动力学临界点提供基准。
AI 中文摘要
我们为横跨相对论重离子对撞机束流能量扫描（BES）计划的广泛碰撞能量范围构建了一个用于动力学横向动量关联\(C_{pT}\)的全新理论基线。首次开发了一个统一框架来描述\(C_{p_{\rm T}}\)在从\(\sqrt{s_{\text{NN}}} = 3.0\)到\(200\)GeV范围内的能量和中心度依赖性。本研究的一个核心特点是采用了源自有限重子化学势\(\mu_{\rm B}\)下格点量子色动力学结果的状态方程（EOS）输入，这是首次将其应用于测量的横向动量关联。尽管所采用的流体动力学演化较为简单，但该模型有效地捕捉了实验数据的特征中心度标度。我们的结果表明，虽然在较低能量下整体演化很大程度上由EOS和系统寿命决定，但在最高能量下周边碰撞中的显著偏差突出了非热关联机制的出现。这个基线为解释重离子碰撞中的横向动量涨落提供了必要的基准，并有助于寻找量子色动力学临界点。
英文摘要
We construct a novel theoretical baseline for dynamical transverse momentum correlations, $C_{pT}$, across a wide range of collision energies spanning the RHIC Beam Energy Scan (BES) program. For the first time, a unified framework is developed to describe the energy and centrality dependence of $C_{p_{\rm T}}$ from $\sqrt{s_{\text{NN}}} = 3.0$ to $200$~GeV. A central feature of this study is the implementation of Equation of State (EOS) inputs derived from Lattice QCD results at finite baryochemical potential $μ_{\rm B}$, representing the first such application to the measured transverse momentum correlations. Despite the minimalist nature of the fluid-dynamic evolution employed, the model effectively captures the characteristic centrality scaling of the experimental data. Our results indicate that while the bulk evolution is largely governed by the EOS and system lifetime at lower energies, significant deviations in peripheral collisions at top energies highlight the onset of non-thermal correlation mechanisms. This baseline provides a necessary benchmark for interpreting transverse momentum fluctuations in heavy-ion collisions and can aid in the search for the QCD critical point.
CommentsWithdrawn due to errors identified in the derivation of the Langevin evolution equation (dimensional inconsistencies and an error in the centrality-scaling ansatz) that require revision of the model
