论文标题
Pion Parton的分布功能与非层次构成夸克模型
Pion parton distribution functions with the nonrelativistic constituent quark model
论文作者
论文摘要
我们使用非相关性手性Quark模型来计算$π$ MESON的价夸克分布函数。 $π$波函数是通过在组成夸克模型框架内求解两体Schrödinger方程来获得的。我们将$π$波函数从剩下的框架转换为基于Lorentz Boost的光锥或无限动量框架。获得了初始演化量表的价夸克分布。 QCD演化用DGLAP方程和带有Parton-Parton重组校正的DGLAP方程。随着将价上升（向下）夸克质量调整为70 MEV，计算出的价为$ q^2 = 20 $ gev $^2 $的夸克发行量与E615实验数据非常吻合。还计算结构函数$ \ rm {f} _2^π（x，q^2）$的$ pion $还计算出与H1实验数据组成的。这里提出的机制也可用于研究其他黑核。
We calculate the valence quark distribution functions of the $π$ meson using the non-relativistic chiral constituent quark model. The $π$ wave function is obtained by solving the two-body Schrödinger equation within the framework of constituent quark model. We transform the $π$ wave function from the rest frame to the light cone or infinite momentum frame based on the Lorentz boost. The valence quark distributions at the initial evolution scale are obtained. The QCD evolution are given with the DGLAP equations with parton-parton recombination corrections. With tuning the valence up (down) quark mass to 70 MeV, the calculated valence up quark distributions at $Q^2=20$ GeV$^2$ are in good agreement with the E615 experimental data. The structure functions $\rm{F}_2^π(x,Q^2)$ of pion are also calculated which consist with the H1 experimental data. The proposed mechanisms here could be also used to study other hadrons.
