Baryon transition current structure (N(1535) longitudinal amplitude) revisited: Insights from Patterson function analysis. An artificial density

The transition-current distribution associated with the longitudinal excitation amplitude of the N(1535) resonance is investigated using Patterson-function analysis applied directly to empirical transition-form-factor data S1/2. In the present approach, the measured form factor is treated as the scattering amplitude of an artificial density distribution, enabling a model-independent spatial reconstruction. The resulting Patterson density exhibits a pronounced central maximum and a half-maximum radius of 0.0392 fm, indicating an exceptionally compact transition-current structure. Radial profiles reveal a positive core accompanied by a weak outer shell, while two- and three-dimensional reconstructions demonstrate that the density remains strongly concentrated near the origin with limited spatial extension. Comparison with previously published Patterson reconstructions of nucleons, mesons, nuclei, and baryon excitations indicates that the N(1535) longitudinal amplitude is among the most spatially localized transition-current distributions identified in the present series of studies The present study further extends Patterson-function imaging to baryon transition amplitudes and illustrates its usefulness as a transparent empirical tool for visualizing spatial characteristics directly from experimental form-factor data.