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27 April 2024

» arxiv » 1909.7242

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Three-body description of $oldsymbol{^{12}}$C: From the hyperspherical formulation to the algebraic cluster model and its application to $oldsymbol{alpha}+oldsymbol{^{12}}$C inelastic scattering
A. Vitturi ; J. Casal ; L. Fortunato ; E. G. Lanza ;
Date:	16 Sep 2019
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.
Source:	arXiv, 1909.7242
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