论文标题
QCD相图中计算核冲突轨迹的半分析方法
A Semi-analytical Method of Calculating Nuclear Collision Trajectory in the QCD Phase Diagram
论文作者
论文摘要
有限的核厚度会影响能量密度$ε（t）$和保守的电荷密度，例如在重离子碰撞中产生的净 - 巴里昂密度$ n_b（t）$。虽然在高碰撞能量下的效果很小，而初始状态的比约克能量密度公式是有效的，但在低碰撞能量下的效果很大，与帕顿形成时间相比，核交叉时间并不小。温度$ t（t）$和化学电位$μ（t）$可以从给定状态方程（EOS）的密度中提取。因此，在QCD相图中确定$ t $ - $μ_b$轨迹在低至中等能量（例如Rhic-Bes Energies）的相对论核碰撞中，包括核厚度至关重要。在此程序中，我们将首先讨论我们的半分析方法，该方法包括核厚度效应及其对密度$ε（t），n_b（t），n_q（t）$和$ n_s（t）$的结果。然后，我们将使用带有Quartum或Boltzmann统计的理想气体EOS显示Quark-Gluon等离子体的提取的$ t（t），μ_b（t），μ_Q（t）$和$μ_s（t）$。最后，我们将与QCD关键终点的可能位置有关的$ t $ - $μ_b$轨迹显示结果。该半分析模型为探索QCD相图中核冲突的轨迹提供了方便的工具。
The finite nuclear thickness affects the energy density $ε(t)$ and conserved-charge densities such as the net-baryon density $n_B(t)$ produced in heavy ion collisions. While the effect is small at high collision energies where the Bjorken energy density formula for the initial state is valid, the effect is large at low collision energies, where the nuclear crossing time is not small compared to the parton formation time. The temperature $T(t)$ and chemical potentials $μ(t)$ of the dense matter can be extracted from the densities for a given equation of state (EOS). Therefore, including the nuclear thickness is essential for the determination of the $T$-$μ_B$ trajectory in the QCD phase diagram for relativistic nuclear collisions at low to moderate energies such as the RHIC-BES energies. In this proceeding, we will first discuss our semi-analytical method that includes the nuclear thickness effect and its results on the densities $ε(t), n_B(t), n_Q(t)$, and $n_S(t)$. Then, we will show the extracted $T(t), μ_B(t), μ_Q(t)$, and $μ_S(t)$ for a quark-gluon plasma using the ideal gas EOS with quantum or Boltzmann statistics. Finally, we will show the results on the $T$-$μ_B$ trajectories in relation to the possible location of the QCD critical end point. This semi-analytical model provides a convenient tool for exploring the trajectories of nuclear collisions in the QCD phase diagram.
