Determination of The ¹²C Charge Form Factor for Excited States (2⁺, 0⁺, 3⁻, and 4⁺)

Understanding nuclear form factors is essential for probing the spatial distribution of charge and testing models of nuclear structure. We present new measurements of inclusive electron scattering from ¹²C to extract cross sections and charge form factors for the ground state and the first four excited states. The analysis utilizes high-resolution data from the Hall A spectrometers at Jefferson Lab, with beam energies from 399 MeV to 1260 MeV and scattering angles between 15^◦ and 45^◦. A dedicated Monte Carlo generator modeled energy loss, radiative corrections, multiple scattering, and spectrometer acceptance. Ground-state form factors were determined using a sum-of-Gaussians fit, while excited-state form factors were extracted by fitting a theoretical ansatz to world data. Measured Q² values were unfolded to the scattering vertex using simulation-based ratios and corrected to isolate state-specific contributions. Preliminary results on cross sections and charge form factors for the 0⁺ (ground), 2⁺, 0⁺ (Hoyle), 3⁻, and 4⁺ states will be presented and compared with world data. These results extend coverage into previously unexplored Q² regions, providing new constraints on nuclear structure and astrophysical nucleosynthesis.