2025/07/24 by Hechenberger, Florian, Mamo, Kiminad A., Zahed, Ismail · 3 citations
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th)
paper · doi:10.48550/arxiv.2507.18615
We show that the two-dimensional Fourier transform of the generalized parton distributions (GPDs) has two distinct interpretations: at zero skewness (η=0) it yields the familiar impact-parameter density, while at finite skewness (η≠ 0) it encodes a genuine parton-nucleon correlation whose norm decreases predictably with the rapidity gap Δy = 2artanh η. 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,\widetildeH across the full (x,η,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.