We analyze the transverse momentum () spectra of lepton pairs () generated in the Drell-Yan process, as detected in proton-nucleus (pion-nucleus) and proton-(anti)proton collisions by ten collaborations over a center-of-mass energy or if in a simplified form) range from  GeV to above 10 TeV. Three types of probability density functions (the convolution of two Lévy-Tsallis functions, the two-component Erlang distribution, and the convolution of two Hagedorn functions) are utilized to fit and analyze the spectra. The fit results are approximately in agreement with the collected experimental data. Consecutively, we obtained the variation law of related parameters as a function of and invariant mass . In the fit procedure, a given Lévy-Tsallis (or Hagedorn) function can be regarded as the probability density function of transverse momenta contributed by a single quark () or anti-quark (). The Drell-Yan process is then described by the statistical method.

中文翻译：

---

Drell-Yan过程中轻子对光谱的统计行为和高能碰撞中夸克-胶子等离子体的信号

我们分析了在 Drell-Yan 过程中产生的轻子对 ( )的横向动量 ( )谱，如质子-核（pion-核）和质子-（反）质子碰撞中通过质心上的十次协作检测到的能量或简化形式）范围从 GeV 到 10 TeV 以上。三种类型的概率密度函数（两个 Lévy-Tsallis 函数的卷积、二分量 Erlang 分布和两个 Hagedorn 函数的卷积）用于拟合和分析光谱。拟合结果与收集的实验数据大致一致。连续地，我们得到了相关参数作为和不变质量的函数的变化规律。在拟合过程中，给定的 Lévy-Tsallis（或 Hagedorn）函数可以看作是单个夸克 ( )或反夸克 ( )贡献的横向动量的概率密度函数。然后用统计方法描述 Drell-Yan 过程。