We obtain all the leading-twist quark generalized parton distributions (GPDs) inside the proton at nonzero skewness within the basis light-front quantization framework. We employ the light-front wave functions of the proton from a light-front quantized Hamiltonian in the valence Fock sector consisting of a three-dimensional confinement potential and a one-gluon exchange interaction with fixed coupling. We find that the qualitative behaviors of our GPDs are similar to those of other theoretical calculations. We further examine the GPDs within the boost-invariant longitudinal coordinate, , which is identified as the Fourier conjugate of the skewness. The GPDs in the -space show diffraction patterns, which are akin to the diffractive scattering of a wave in optics.

中文翻译：

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来自基础光前量化的质子的偏斜广义部分子分布


我们在基础光前量化框架内以非零偏度获得质子内的所有前旋夸克广义部分子分布（GPD）。我们采用来自价福克扇区中的光前量子化哈密顿量的质子的光前波函数，该波函数由三维限制势和具有固定耦合的一胶子交换相互作用组成。我们发现 GPD 的定性行为与其他理论计算的类似。我们进一步检查增强不变纵坐标内的 GPD，它被识别为偏度的傅立叶共轭。 - 空间中的 GPD 显示衍射图案，类似于光学中波的衍射散射。