Baryon transition current structure (N(1520) longitudinal amplitude) revisited: Insights from Patterson function analysis

The transition current associated with the N(1520) longitudinal amplitude is examined using a Patterson-function approach applied directly to empirical GC transition form-factor data. Because the reconstruction is based solely on experimental input, the resulting spatial distribution is obtained without introducing model-dependent assumptions. The reconstructed profile exhibits a strongly localized positive core characterized by a peak density of 139.5 fm⁻⁶ and a half-maximum radius of 0.0802 fm, indicating a highly compact transition-current structure. Beyond the central region, a negative shell is observed with a minimum density of −22.9 fm⁻⁶ at r=0.203 fm. The corresponding nodal positions occur at r=0.146 fm and r=0.296 fm. Comparison with previously reconstructed baryon transition currents shows that the N(1520) longitudinal amplitude possesses the deepest negative minimum among the systems investigated to date. These findings highlight distinctive structural features of the N(1520) transition current and further demonstrate the usefulness of Patterson-function analysis as a model-independent tool for hadronic imaging.