Pseudo-Parton Distributions in Diquark Spectator Models

We study parton pseudo-distribution functions (pPDFs) in the diquark spectator model and benchmarking its controlled approach to the light-cone (LC) PDF. We derive analytic expressions for the pPDF, then evaluate them numerically to study the convergence in this specific model to the LC limit for scales achievable in modern lattice QCD calculations. Our focus is how pPDFs approach the LC distribution, the finite kinematic behavior at realistic scales, and how these trends differ between scalar and vector couplings or between flavors of quarks. When informative, we compare directly to quasi-PDFs (qPDFs) in the same models to contrast the two non-LC constructions. This side-by-side analysis separates shared LC behavior from model-dependent power corrections, providing a clear diagnostic of convergence systematics in simple analytic QFT settings and will guide estimation of errors for lattice QCD results.