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arXiv 1804.04293nucl-thnucl-ex
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从束流能量为0.4 \emph{A} - 1.0 \emph{A} GeV的重离子碰撞中的快度相关椭圆流确定核不可压缩性

Determination of the nuclear incompressibility from the rapidity-dependent elliptic flow in heavy-ion collisions at beam energies 0.4\emph{A} - 1.0\emph{A} GeV

Yongjia Wang, Chenchen Guo, Qingfeng Li, Arnaud Le Fevre, Yvonne Leifels, Wolfgang Trautmann

摘要:

重离子碰撞测量结合输运模型模拟作为提取核不可压缩性的重要工具。然而,在运输模型(或模型依赖性)的不确定性部分影响提取结果的可靠性。在本工作中,通过使用最近的测量数据的快速相关的流动,我们约束的不可压缩性的核物质和分析模型的不确定性对所获得的值的影响。该方法是基于新更新的版本的超相对论量子分子动力学(UrQMD)模型中的Skyrme势能密度泛函的介绍。采用了三种不同的Skyrme相互作用,它们给出了从$K_0$ =201到271 MeV的不同的不可压缩性。通过比较UrQMD模型模拟和FOPI数据,得到了在能量为0.4 \emph{A} - 1.0 \emph{A} GeV条件下Au+Au碰撞中速度相关椭圆流的不可压缩性.椭圆流$v_2$随快度$y_0$的变化可用二次拟合$v_2=v_{20} + v_{22}\cdot y_0^2 $来描述。结果表明,由$v_{2n}=|v_{20}|+|v_{22}|$定义的$v_{2n}$对不可压缩性$K_0$和介质中核子-核子截面十分敏感,但对核对称能的斜率参数$L$不敏感.利用介质中核子-核子碰撞截面的FU 3FP 4参数化,从自由质子和氘的$v_{2n}$中提取出平均的$K_0 = 220 \pm 40$ ~MeV.然而,剩余的系统的不确定性,部分地涉及到在介质中核子-核子截面的选择,是相同的量级($\pm 40$ ~MeV)。总的来说,依赖于快度的椭圆流支持一个软物质状态方程。

英文摘要:

Heavy-ion-collision measurements in combination with transport model simulations serve as important tools for extracting the nuclear incompressibility. However, uncertainties in transport models (or model dependence) partly affect the reliability of the extracted result. In the present work, by using the recently measured data of rapidity-dependent flows, we constrain the incompressibility of nuclear matter and analyse the impact of model uncertainties on the obtained value. The method is based on the newly updated version of the ultrarelativistic quantum molecular dynamics (UrQMD) model in which the Skyrme potential energy-density functional is introduced. Three different Skyrme interactions which give different incompressibilities varying from $K_0$=201 to 271 MeV are adopted. The incompressibility is deduced from the comparison of the UrQMD model simulations and the FOPI data for rapidity-dependent elliptic flow in Au+Au collisions at beam energies 0.4\emph{A} - 1.0\emph{A} GeV. The elliptic flow $v_2$ as a function of rapidity $y_0$ can be well described by a quadratic fit $v_2=v_{20} + v_{22}\cdot y_0^2 $. It is found that the quantity $v_{2n}$ defined by $v_{2n}=|v_{20}|+|v_{22}|$ is quite sensitive to the incompressibility $K_0$ and the in-medium nucleon-nucleon cross section, but not sensitive to the slope parameter $L$ of the nuclear symmetry energy. With the FU3FP4 parametrization of the in-medium nucleon-nucleon cross section, an averaged $K_0 = 220 \pm 40$~MeV is extracted from the $v_{2n}$ of free protons and deuterons. However, remaining systematic uncertainties, partly related to the choice of in-medium nucleon-nucleon cross sections, are of the same magnitude ($\pm 40$~MeV). Overall, the rapidity dependent elliptic flow supports a soft symmetric-matter equation-of-state.

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