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arXiv 2409.01397hep-phnucl-exnucl-th
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全局与局部电荷守恒下的密度关联

Density correlations under global and local charge conservation

Volodymyr Vovchenko

AI总结:

提出正则系综下计算守恒荷密度空间$n$点关联的框架,应用于LHC重离子碰撞引入局部重子数守恒,分析ALICE净质子累积量数据证实了局部重子守恒。

摘要:

本工作提出了一种在正则系综下计算大型热系统中守恒荷密度空间$n$点关联的框架,并给出了直至4阶的显式结果。所得关联子包含局部项和平衡项,通过任意状态方程的巨正则磁化率表达。该新框架被用于通过调制平衡项,在LHC条件下的重离子碰撞(空间)快度中引入高斯局部重子数守恒。本文建立了与守恒体积$V_c$方法的联系,表明后者适用于中心快度有限范围内的观测量。对ALICE合作组关于在$\sqrt{s_{\rm NN}} = 5.02$ TeV中心Pb-Pb碰撞中净质子累积量的实验数据进行的定量分析,显示了局部重子守恒的显著证据。

英文摘要:

This work presents a formalism to compute spatial $n$-point correlations of a conserved charge density in a large thermal system in the canonical ensemble, with explicit results presented up to 4th order. The resulting correlators contain local and balancing terms expressed through the grand-canonical susceptibilities for any equation of state. The new formalism is used to introduce a Gaussian local baryon number conservation in (spatial) rapidity in heavy-ion collisions at LHC conditions through a modulation of the balancing term. Connection to the conservation volume $V_c$ approach is established, indicating that the latter is appropriate for observables within a limited range around midrapidity. Quantitative analysis of the experimental data of the ALICE Collaboration on net proton cumulants in central Pb-Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV shows significant evidence for local baryon conservation.

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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