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arXiv 2012.03167hep-ph
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质子入射核Drell-Yan过程中夸克输运系数的Bjorken变量和尺度依赖性

Bjorken variable and scale dependence of quark transport coefficient in Drell-Yan process for proton incident on nucleus

Tian-Xing Bai, Chun-Gui Duan

备注：
arXiv admin note: text overlap with arXiv:2011.14350
发表信息：
Eur. Phys. J. Plus 136 (2021) 649
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摘要：

质子入射核的Drell-Yan过程是深入研究部分子在核中传播的极好场所。利用仅由轻子-核深度非弹性散射实验数据确定的核部分子分布和基于BDMPS形式的猝灭量解析参数化，对Fermilab E906和E866实验数据进行了核Drell-Yan微分截面比随Feynman变量变化的唯象分析.考虑核几何效应对核Drell-Yan过程的影响，并将夸克输运系数设为常数，我们的预言与实验测量符合得很好.发现核几何效应对冷核物质中夸克输运系数有显著影响。在研究核Drell-Yan过程时，必须考虑核的详细几何结构。我们的计算结果表明E906和E866实验的夸克输运系数值存在差异。然而，要证实夸克输运系数依赖于靶夸克动量分数的结论，还需要更精确的Drell-Yan微分截面比实验数据。提出并讨论了夸克输运系数作为可测运动学变量的函数的三种模型。夸克输运系数$\hat{q}$被确定为Bjorken变量$x_2$和标度$Q^2$的函数。希望冷核介质中夸克输运系数的参数化形式能有助于思考部分子在核物质中的传播机制。

英文摘要：

The Drell-Yan process for proton incident on nuclei is an excellent place for deeply studying the parton propagation in a nucleus. By means of the nuclear parton distributions determined only with lepton-nuclear deep inelastic scattering experimental data and the analytic parameterization of quenching weight based on BDMPS formalism, a phenomenological analysis of the nuclear Drell-Yan differential cross section ratio as a function of Feynman variable is performed from Fermilab E906 and E866 experimental data. With the nuclear geometry effect on nuclear Drell-Yan process and the quark transport coefficient as a constant, our predictions are in good agreement with the experimental measurements. It is found that nuclear geometry effect has a significant impact on the quark transport coefficient in cold nuclear matter. It is necessary to consider the detailed nuclear geometry in studying the nuclear Drell-Yan process. Our calculated results reveal that the difference in the values of quark transport coefficient exists from E906 and E866 experiments. However, confirming the conclusion that the quark transport coefficient depends on the target-quark momentum fraction, still need more accurate experimental data on the Drell-Yan differential cross section ratio in the future. Three models are proposed and discussed for the quark transport coefficient as a function of the measurable kinematic variables. The quark transport coefficient $\hat{q}$ is determined as a function of the Bjorken variable $x_2$ and scale $Q^2$. It is hoped that the parametrization form of quark transport coefficient in the cold nuclear medium can help to think about the parton propagation mechanism in nuclear matter.

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