Transition densities and form factors in the triangular α -cluster model of C12 with application to C12+α scattering

Autor: Andrea Vitturi, J. Casal, E. G. Lanza, L. Fortunato
Rok vydání: 2020
Předmět:
Zdroj: Physical Review C. 101
ISSN: 2469-9993
2469-9985
DOI: 10.1103/physrevc.101.014315
Popis: Densities and transition densities are computed in an equilateral triangular alpha-cluster model for $^{12}$C, in which each $\alpha$ 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 $^{12}$C$(\alpha, \alpha')$ reaction. The comparison with experimental data indicates that the simple geometrical model with rotations and vibrations gives a reliable description of reactions where $\alpha$-cluster degrees of freedom are involved.
Databáze: OpenAIRE