Three-body description of 12C: From the hyperspherical formulation to the algebraic cluster model and its application to α + 12C inelasticscattering
Dipartimento di Fisica e Astronomia “G. Galilei” and INFN Sezione di Padova,
2 INFN Sezione di Catania, I-95123, Catania, Italy
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Published online: 4 December 2019
Form factors for α+12C inelastic scattering are obtained within two theoretical (α+α+α) approaches:The hyperspherical framework for three identical bosons, and the algebraic cluster model assuming the D3h 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.
© The Authors, published by EDP Sciences, 2019
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