Complete Parametrization of Nucleon-to-Delta Transition GPDs
Deriving the full set of leading-twist generalized parton distributions for a nucleon-to-Delta(1232) transition by enumerating all Lorentz-covariant operator structures consistent with discrete symmetries and the baryon equations of motion. Learners see how completeness reveals light-cone-vector structures (GPDs of vanishing first moment) absent from form-factor-inspired parametrizations, and how light-front multipole and cross-channel partial-wave analyses confirm them.
2501.00185
Generalized parton distributions (GPDs) encode the distribution of quarks and gluons inside a hadron in both longitudinal momentum and transverse position; transition GPDs describe the case where the…