We study the recently defined six-dimensional light-front Wigner distributions for the pion case. By using the light-cone spectator model, we calculate the Wigner distributions of the unpolarized, longitudinal-polarized, and transversely-polarized quark in the pion. We present the numerical results of six-dimensional light-front Wigner distributions by fixing certain coordinates. The Wigner distributions exhibit a diffraction pattern in the longitudinal position space, in similar to the single slit diffraction in optics. We also present the numerical results of the three-dimensional distributions in the subspace of longitudinal position and transverse position or transverse momentum coordinates. The six-dimensional light-front Wigner distributions not only contain the most complete information of parton distributions in the hadron, but also provide new physical quantities for future measurements.

我们研究了最近定义的π介子情况的六维光前维格纳分布。通过使用光锥观察者模型，我们计算了π介子中非偏振、纵向偏振和横向偏振夸克的维格纳分布。我们通过固定某些坐标给出了六维光锋维格纳分布的数值结果。维格纳分布在纵向位置空间中呈现出衍射图案，类似于光学中的单缝衍射。我们还给出了纵向位置和横向位置或横向动量坐标子空间中三维分布的数值结果。六维光锋维格纳分布不仅包含了最完整的信息强子中的部分子分布，同时也为未来的测量提供新的物理量。