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AMPT 中 Ru+Ru 和 Zr+Zr 等压碰撞中依赖谐波的几何到流的转移

Harmonic-dependent geometry-to-flow transfer in AMPT Ru+Ru and Zr+Zr isobar collisions

Murad Badshah, Muhammad Ajaz

arXiv 2607.12660首次发表:更新:

AI 中文总结

研究\(^{96}{\rm Ru}+^{96}{\rm Zr}\)等压碰撞中几何到流的转移,通过修改初始化、引入双比值\(D_n\)进行研究,发现椭圆双比值近 1,三角形双比值大于 1,确定了依赖谐波的 AMPT 响应。

AI 中文摘要

我们在弦熔化的 AMPT 模拟中,对\(\sqrt{s_{NN}} = 200\)GeV 的\(^{96}{\rm Ru}+^{96}{\rm Ru}\)和\(^{96}{\rm Zr}+^{96}{\rm Zr}\)碰撞进行了固定\(N_{\rm part}\)的几何到流转移研究。考虑了四种核构型。修改了 AMPT/HIJING 初始化。引入了偏心率归一化的等压响应双比值\(D_n\)。结果发现椭圆双比值接近 1,三角形双比值大于 1,且\(D_3 - 1\)模式在多种变化下保持。这确定了一种依赖谐波的 AMPT 响应。

英文摘要

We present a fixed-$N_{\rm part}$ study of geometry-to-flow transfer in string-melting AMPT simulations of $^{96}{\rm Ru}+^{96}{\rm Ru}$ and $^{96}{\rm Zr}+^{96}{\rm Zr}$ collisions at $\sqrt{s_{NN}}=200$ GeV. Four nuclear configurations are considered: deformation-only Ru+Ru, deformation-only Zr+Zr, deformation plus neutron skin Ru+Ru and deformation plus neutron skin Zr+Zr. The AMPT/HIJING initialization is modified to include deformed Woods--Saxon densities and, when enabled, separate proton and neutron Woods--Saxon radii and diffuseness parameters (neutron skin effect). We introduce an eccentricity-normalized isobar response double ratio, $D_n=(v_n^{\rm Ru}/v_n^{\rm Zr})/(\varepsilon_n^{\rm Ru}/\varepsilon_n^{\rm Zr})$, evaluated in common participant-number intervals. This observable eliminates the initial-geometry eccentricity ratio, and investigates whether the final-state flow ratio is fully determined by the initial-geometry ratio. We find that the elliptic double ratio is nearly unity, and the triangular double ratio is consistently greater than unity for the two deformation-only and deformation-plus-skin configurations. The positive $D_3-1$ pattern is maintained when varying the $N_{\rm part}$ binning, peripheral-bin treatment, flow $p_T$ range and rapidity/pseudorapidity acceptance. The result identifies a harmonic-dependent AMPT response: Ru/Zr elliptic flow follows leading eccentricity scaling to high accuracy, whereas triangular flow retains a residual response component after the triangularity ratio is divided out.

Comments17 pages, 12 figures

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