论文标题
QCD临界点附近的光核生产尺度
Scales in light-nuclei production near the QCD critical point
论文作者
论文摘要
基于合并模型,我们通过扩展相位空间累积$ \ sim \ sim \ sim \ langle rangle r^m p^m p^m p^m \ rangle_c $来分析临界点附近的光核生产。我们表明,相位空间分布对光核产量的主要贡献是由二阶相位空间累积物决定的。在这里,我们确定了在二阶相位空间累积物中编码的火球大小,同质性长度和有效温度,这是解释光核产量的相关尺度。这些量表通常比重型离子系统快速扩展中产生的临界波动的相关长度大得多,因此我们需要消除相关尺度的这种主要贡献,以便将关键贡献与光核的产量隔离开来。我们发现,二阶相位空间累积物以不同质量数的光核的产量出现,具有相似的结构。该特性使我们能够以适当的组合构建光核产量的比率,从而使光核产量的相关尺度的效果取消,从而隔离了关键效应。
Based on the coalescence model, we analyse the light-nuclei production near the critical point by expanding the phase-space distribution function $f(\mathbf{r},\mathbf{p})$ in terms of the phase-space cumulants $\sim \langle r^m p^m\rangle_c$. We show that the dominant contribution of the phase-space distribution to the yield of light nuclei is determined by the second-order phase-space cumulants. Here, we identify the fireball size, the homogeneity length, and the effective temperature, which are encoded in the second-order phase-space cumulants, as the relevant scales in explaining the yield of light nuclei. These scales are typically much larger than the correlation length of the critical fluctuations created in the rapid expansion of the heavy-ion systems, so we need to eliminate this dominant contribution of the relevant scales in order to isolate the critical contribution from the yield of light nuclei. We find that the second-order phase-space cumulants appeared in the yields of light-nuclei with different mass numbers share a similar structure. This property allows us to construct ratios of light-nuclei yields in appropriate combinations so that the effect of the relevant scales of the light-nuclei yield cancels, which isolates the critical effects.