论文标题
非零$μ_b$的净baryon-number分布的高阶累积累积物
Higher order cumulants of net baryon-number distributions at non-zero $μ_B$
论文作者
论文摘要
利用晶格QCD保守电荷波动的高阶累积量的最新结果，我们构建了小baryon化学势的净 - 巴里昂数量分布的平均值，方差，偏度，峰度，超毛病和过度库尔特病$μ_b$。对于奇怪的中性情况（$μ__s= 0 $），以电荷与巴里昂的数字密度的固定比率（$ \ frac {n_q} {n_b} = 0.4 $），适合与重离子碰撞进行比较，我们呈现$κ_Bσ_bσ_bσ_b^2 $，$ s_b qu n $ s_b qu n/s_b un $κ^{h} _ {b}σ_{b}^4 $和$ s^{h} _ {b}σ^5_ {b}/m_ {b} $在透射过渡的交叉线上，$ t_ {pc}（pc}（μ_b）$。最近，HOTQCD报告了该伪临界过渡线的连续性外推至Baryon化学势$μ_b\ Simeq 300 $ MEV [ARXIV：1812.08235]。这些累积比率是与BES-I和II在Beam Energies $ \ sqrt {s_ {nn}} \ ge 20 $ gev的相应比率与相应比率进行比较的直接相关性。特别是，我们指出的是，最近的高统计数据结果是关于由Star At $ \ sqrt {s_ {nn}} = 54.4 $ GEV在冻结参数上施加的强大限制，并且与热QCD的预测一致的净 - 巴里昂数字分布的偏度和峰度。
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.
