Title: Rapidity-Dependent Spin Decomposition of the Nucleon Show Chinese title

Title: 快速度相关的核子自旋分解

Abstract: We show that the two-dimensional Fourier transform of the generalized parton distributions (GPDs) has two distinct interpretations: at zero skewness ($\eta=0$) it yields the familiar impact-parameter density, while at finite skewness ($\eta \neq 0$) it encodes a genuine parton-nucleon correlation whose norm decreases predictably with the rapidity gap $\Delta y = 2\mathrm{artanh} \eta$. This rapidity dependence produces universal rapidity-modified Ji identities linking helicity, orbital, and total angular momenta analytically. Using linear open- and closed string Regge trajectories constrained by empirical PDFs, spectroscopy and form factor data, we obtain the leading twist GPDs $H,E,\widetilde{H}$ across the full $(x,\eta,t)$ range. Numerical Mellin Barnes inversion agrees with existing lattice data and yields rapidity resolved predictions for Jefferson Lab 12 GeV, the Electron Ion Collider, and forthcoming lattice studies. Show Chinese abstract

Abstract: 我们证明广义部分子分布（GPDs）的二维傅里叶变换有两种不同的解释：在零偏斜度（$\eta=0$）时，它给出熟悉的动量参数密度，而在有限偏斜度（$\eta \neq 0$）时，它编码了一个真实的部分子-核子相关性，其模长随着快速度间隙（$\Delta y = 2\mathrm{artanh} \eta$）可预测地减小。 这种快速度依赖性产生了普遍的快速度修正的Ji恒等式，从解析上联系了自旋、轨道和总角动量。 利用由经验PDF、光谱和形式因子数据约束的线性开弦和闭弦Regge轨迹，我们获得了在整个$(x,\eta,t)$范围内的主导扭结GPDs$H,E,\widetilde{H}$。 数值Mellin Barnes反演与现有格点数据一致，并为杰弗逊实验室12 GeV、电子离子对撞机和即将进行的格点研究提供了快速度分辨的预测。