本文利用统计模型研究了K 介子和 π 介子的部分子分布函数. 通过从费米统计模型得到的介子中夸克分布函数的参数化形式，结合介子诱导的 Drell-Yan 实验数据抽取了 K 介子中 u 夸克的分布函数，获得了相应参数的取值. 抽取结果发现统计模型可以很好地描述 K 介子-核子 Drell-Yan 和 π 介子-核子 Drell-Yan 过程截面的比值，同时得到 K 介子中正螺旋度 u夸克的化学势小于 π 介子中正螺旋度 u 夸克的化学势的结论.

The statistical model is applied to study the parton distribution function of the K and

the π mesons. By using the parameterized form for the parton distribution function of the meson

obtained from the statistical model and combining the meson induced Drell-Yan data，the u quark

distribution function of the K meson is extracted， the values of the parameters are

determined. The extraction shows that the statistical approach can describe the ratio of the

K-nucleon Drell-Yan and π-nucleon fairly well. It is also found that the chemical potential of

the u quark with positive helicity inside the K meson is larger than that inside the π meson.