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arXiv 2201.08577hep-ph
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质子入射核Drell-Yan过程中夸克输运系数的原子质量、Bjorken变量和尺度依赖性

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

Wei-Jie Xu, Tian-Xing Bai, Chun-Gui Duan

备注：
arXiv admin note: text overlap with arXiv:2012.03167
发表信息：
Chin. Phys. C 47, (2023)
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摘要：

利用在没有固定靶Drell-Yan实验数据的情况下确定的核部分子分布和基于BDMPS形式的猝灭权重解析表达式，对Fermilab E906和E866合作组的Drell-Yan微分截面比进行了次-首阶分析.结果表明，仅考虑部分子分布的核效应时，计算结果与E866和E906实验数据不一致。在核Drell-Yan反应中，入射部分子能量损失效应是不可忽略的。结果表明，在夸克输运系数为常数的情况下，靶核几何效应对夸克输运系数的抑制约为19.24%。结果表明，在研究核靶上的Drell-Yan反应时，应考虑靶核几何效应。在夸克输运系数的Bjorken变量和尺度依赖性的基础上，引入了原子质量依赖性。通过对实验数据的整体拟合，确定了夸克输运系数是原子质量、Bjorken变量$x_2$和标度$Q^2$的函数。确定了夸克输运系数的常数因子$\hat{q}_0$为$0.061\pm0.004 {\rm GeV^2/fm}$。研究发现，原子质量依赖性对冷核物质中夸克输运系数的常数因子$\hat{q}_0$有显著影响。

英文摘要：

By means of the nuclear parton distributions determined without the fixed-target Drell-Yan experimental data and the analytic expression of quenching weight based on BDMPS formalism, a next-to-leading order analyses are performed on the Drell-Yan differential cross section ratios from Fermilab E906 and E866 Collaborations. It is found that the calculated results with only the nuclear effects of parton distribution are not in agreement with the E866 and E906 experimental data. The incoming parton energy loss effect can not be ignored in the nuclear Drell-Yan reactions. The predicted results indicate that with the quark transport coefficient as a constant, the suppression due to the target nuclear geometry effect is approximately 19.24% for the quark transport coefficient. It is shown that we should consider the target nuclear geometry effect in studying the Drell-Yan reaction on nuclear targets. On the basis of Bjorken variable and scale dependence of the quark transport coefficient, the atomic mass dependence is incorporated. The quark transport coefficient is determined as a function of the atomic mass, Bjorken variable $x_2$ and scale $Q^2$ by the global fit of the experimental data. The determined constant factor $\hat{q}_0$ of the quark transport coefficient is $0.061\pm0.004 {\rm GeV^2/fm}$. It is found that the atomic mass dependence has a remarkable impact on the constant factor $\hat{q}_0$ in the quark transport coefficient in cold nuclear matter.

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