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arXiv 2501.02579nucl-thastro-ph.HEnucl-ex
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基于FOPI质子流激发函数的贝叶斯分析探讨介质内重子-重子散射截面与致密核物质刚度的演化

Evolutions of in-medium baryon-baryon scattering cross sections and stiffness of dense nuclear matter from Bayesian analyses of FOPI proton flow excitation functions

Bao-An Li, Wen-Jie Xie

AI总结:

基于贝叶斯统计框架和IBUU输运模型,通过分析FOPI质子流激发函数数据,推断出介质内重子-重子散射截面修正因子和致密核物质刚度参数的后验分布,发现随着束流能量增加核物质逐渐硬化。

摘要:

在使用高斯过程(GP)模拟器作为动量无关Skyrme相互作用重离子反应的依赖同位旋Boltzmann-Uehling-Uhlenbeck(IBUU)输运模型模拟器的贝叶斯统计框架内,我们根据FOPI合作组在束流能量从150到1200 MeV/nucleon的中心碰撞Au+Au反应中测得的质子定向流和椭圆流,推断出介质内重子-重子散射截面(BBSCS)修正因子$X$(相对于其自由空间值)和致密核物质刚度参数$K$的后验概率分布函数(PDF)。我们发现,$X$的最可能值随着束流能量$E_{beam}/A$的增加从约0.7演化到1.0。另一方面,后验PDF($K$)可能具有大致相同高度的双峰,或在高$K$值处具有延伸的肩部。更定量地说,后验PDF($K$)从在$E_{beam}/A$=150 MeV反应中表征软状态方程(EOS)的约220 MeV主峰,转变为在$E_{beam}/A$高于约600 MeV反应中峰值约为320 MeV的硬状态方程。从软到硬的转变发生在束流能量约250 MeV/nucleon的中中心Au+Au反应中,此时$K=220$ MeV和$K=320$ MeV出现的概率大致相等。总而言之,FOPI质子流激发函数数据表明,随着密度的增加和温度的升高,热而致密的核物质在具有更高束流能量的反应中逐渐硬化。

英文摘要:

Within a Bayesian statistical framework using a Gaussian Process (GP) emulator for an isospin-dependent Boltzmann-Uehling-Uhlenbeck (IBUU) transport model simulator of heavy-ion reactions with momentum-independent Skyrme interactions, we infer from the proton directed and elliptical flow in mid-central Au+Au reactions at beam energies from 150 to 1200 MeV/nucleon taken by the FOPI Collaboration the posterior Probability Distribution Functions (PDFs) of the in-medium baryon-baryon scattering cross section (BBSCS) modification factor $X$ (with respect to their free-space values) and the stiffness parameter $K$ of dense nuclear matter. We find that the most probable value of $X$ evolves from around 0.7 to 1.0 as the beam energy $E_{beam}/A$ increases. On the other hand, the posterior PDF($K$) may have dual peaks having roughly the same height or extended shoulders at high $K$ values. More quantitatively, the posterior PDF($K$) changes from having a major peak around 220 MeV characterizing a soft EOS in the reaction at $E_{beam}/A$=150 MeV to one that peaks around 320 MeV indicating a stiff EOS in the reactions at $E_{beam}/A$ higher than about 600 MeV. The transition from soft to stiff happens in mid-central Au+Au reactions at beam energies around 250 MeV/nucleon in which $K=220$ MeV and $K=320$ MeV are approximately equally probable. Altogether, the FOPI proton flow excitation function data indicate a gradual hardening of hot and dense nuclear matter as its density and temperature increase in reactions with higher beam energies.

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