Reconstructed baryon transition current structure (N(1535) negative parity F1 form factor): Insights from Patterson function analysis

This study applies the Patterson function to reconstruct the Dirac‑type transition current density of the N(1535) negative parity F1 resonance. The reconstruction reveals a compact positive core with a half‑maximum radius of 0.0398 fm, encircled by a softer negative shell. These features underscore the highly localized spatial architecture of the N(1535) and provide direct empirical imaging of baryonic substructure. In contrast to parameterized form factor models, the Patterson framework delivers a reconstruction that is both model‑independent and spatially explicit, emphasizing fine localization while complementing theoretical approaches such as lattice QCD. Extending this methodology from charge and magnetic distributions to transition currents demonstrates its versatility and broadens its relevance within hadronic physics. Continued refinements—particularly in precision and application to additional resonances—will further consolidate the empirical basis of Patterson analysis, offering a stronger foundation for theoretical descriptions of nucleon dynamics.