Three-body description of C-12: From the hyperspherical formulation to the algebraic cluster model and its application to alpha+C-12 inelastic scattering

Form factors for alpha + C-12 inelastic scattering are obtained within two theoretical (alpha + alpha + alpha) approaches: The hyperspherical framework for three identical bosons, and the algebraic cluster model assuming the D-3h symmetry of an equilateral triangle subject to rotations and vibrations. Results show a good agreement, with form factors involving the Hoyle state having a slightly larger extension within the hyperspherical approach. Coupled-channel calculations using these form factors are ongoing.