Transition densities and form factors in the triangular $\alpha$-cluster model of $^{12}$C with application to $^{12}$C+$\alpha$ scattering
Abstract
Densities and transition densities are computed in an equilateral triangular alpha-cluster model for C, in which each particle is taken as a gaussian density distribution. The ground-state, the symmetric vibration (Hoyle state) and the asymmetric bend vibration are analyzed in a molecular approach and dissected into their components in a series of harmonic functions, revealing their intrinsic structures. The transition densities in the laboratory frame are then used to construct form-factors and to compute DWBA inelastic cross-sections for the C reaction. The comparison with experimental data indicates that the simple geometrical model with rotations and vibrations gives a reliable description of reactions where -cluster degrees of freedom are involved.
Cite
@article{arxiv.1909.13571,
title = {Transition densities and form factors in the triangular $\alpha$-cluster model of $^{12}$C with application to $^{12}$C+$\alpha$ scattering},
author = {A. Vitturi and J. Casal and L. Fortunato and E. G. Lanza},
journal= {arXiv preprint arXiv:1909.13571},
year = {2020}
}