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arXiv · 1909.07242

Three-body description of $\boldsymbol{^{12}}$C: From the hyperspherical formulation to the algebraic cluster model and its application to $\boldsymbol{\alpha}+\boldsymbol{^{12}}$C inelastic scattering

J. Casal·L. Fortunato·A. Vitturi·E. G. Lanza
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Abstract

Form factors for $\alpha+{^{12}}$C 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.

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J. Casal, L. Fortunato, A. Vitturi, E. G. Lanza. 2019-09-16. Three-body description of $\boldsymbol{^{12}}$C: From the hyperspherical formulation to the algebraic cluster model and its application to $\boldsymbol{\alpha}+\boldsymbol{^{12}}$C inelastic scattering. https://doi.org/10.1051/epjconf/201922301008

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