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arXiv 2002.01837hep-lathep-phnucl-th
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非零$μ_B$态净重子数分布的高阶累积量

Higher order cumulants of net baryon-number distributions at non-zero $μ_B$

Dennis Bollweg, Frithjof Karsch, Swagato Mukherjee, Christian Schmidt

备注：
4 pages, 6 figures, Contribution to the Quark Matter 2019 Conference Proceedings
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摘要：

利用格点QCD关于守恒电荷涨落高阶累积量的最新结果，构造了小重子化学势$μ_B$的净重子数分布的均值、方差、偏度、峰度、超偏度和超峰度.对于电荷与重子数密度之比固定的奇异中性情形（$μ_S=0$），我们给出了手征跃迁$T_{pc}(μ_B)$交叉线上的$κ_B σ_B^2$、$S_B σ_B^3/M_B$、$κ^{H}_{B}σ_{B}^4$和$S^{H}_{B}σ^5_{B}/M_{B}$的结果.最近HotQCD报道了这个伪临界跃迁线的连续外推，直到重子化学势$μ_B\simeq 300$ MeV [arXiv：1812.08235]。这些累积量的比率是直接相关的比较与相应的比率测量的星在BES-I和II运行在束能量$\sqrt{s_{NN}}\ge 20$ GeV。特别是，我们指出，最近的高统计结果的偏度和峰度的净重子数分布得到的STAR在$\sqrt{s_{NN}} = 54.4$ GeV冻结参数的强约束，是一致的预测从热QCD。

英文摘要：

Using recent results on higher order cumulants of conserved charge fluctuations from lattice QCD, we construct mean, variance, skewness, kurtosis, hyper-skewness and hyper-kurtosis of net-baryon number distributions for small baryon chemical potentials $μ_B$. For the strangeness neutral case ($μ_S=0$) at fixed ratio of electric charge to baryon number density ($\frac{n_Q}{n_B}=0.4$), which is appropriate for a comparison with heavy ion collisions, we present results for $κ_B σ_B^2$, $S_B σ_B^3/M_B$, $κ^{H}_{B}σ_{B}^4$ and $S^{H}_{B}σ^5_{B}/M_{B}$ on the crossover line for the chiral transition, $T_{pc}(μ_B)$. Continuum extrapolations for this pseudo-critical transition line have recently been reported by HotQCD up to baryon chemical potentials $μ_B\simeq 300$ MeV [arXiv:1812.08235]. These cumulant ratios are of direct relevance for comparisons with corresponding ratios measured by STAR in the BES-I and II runs at beam energies $\sqrt{s_{NN}}\ge 20$ GeV. In particular, we point out that recent high statistics results on skewness and kurtosis of net-baryon number distributions obtained by STAR at $\sqrt{s_{NN}} = 54.4$ GeV put strong constraints on freeze-out parameters and are consistent with predictions from thermal QCD.

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