The algebraic cluster model. Three-body clusters
Nuclear Theory
2009-11-07 v1
Abstract
A new method is introduced to study three-body clusters. Triangular configurations with point-group symmetry are analyzed. The spectrum, transition form factors and values of C are investigated. It is concluded that the low-lying spectrum of C can be described by three alpha-particles at the vertices of an equilateral triangle, but not as a rigid structure. Large rotation-vibration interactions, Coriolis forces and vibration-vibration interactions are needed. Other interpretations, such as the harmonic oscillator and a soft deformed oscillator with SO(6) hyperspherical symmetry, appear to be excluded by electron scattering data.
Keywords
Cite
@article{arxiv.nucl-th/0203072,
title = {The algebraic cluster model. Three-body clusters},
author = {R. Bijker and F. Iachello},
journal= {arXiv preprint arXiv:nucl-th/0203072},
year = {2009}
}
Comments
31 pages, 10 figures, 5 tables. Annals of Physics (N.Y.), in press