Breit-Wigner Transition Form Factors for Baryon Resonances

Short-lived particles known as baryon resonances offer insight into the nonperturbative structure of the nucleon. These resonances can be probed in scattering experiments, where they briefly form and decay in the presence of virtual photons. This project aims to extract Q²-dependent transition form factors (TFFs) of baryon resonances using Breit-Wigner parametrizations. Working with partial wave multipoles from pion-nucleon and eta-nucleon channels, we implement Breit-Wigner fits in Mathematica that include energy-dependent widths and background contributions. By fitting scattering amplitudes across a range of energies, we extract resonance parameters such as mass and width. The resulting Breit-Wigner TFFs will be compared to pole-based representations used in other analyses, enabling consistent comparison between experimental data and theoretical models such as quark and Dyson-Schwinger approaches. This work supports a more unified framework for interpreting resonance data across multiple final states.