The algebraic cluster model: Three-body clusters

A new method is introduced to study three-body clusters. Triangular configurations with D-3h point-group symmetry are analyzed. The spectrum. transition form factors, and B(Elambda) values of C-12 are investigated. It is concluded that the low-lying spectrum of C-12 can be described by three alpha-particles at the vertices of an equilateral triangle. but not Lis 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. (C) 2002 Elsevier Science (USA).