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 |
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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 |
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