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The Algebraic cluster model: Three body clusters

R. Bijker
(
- Genoa U. and
- Mexico U., ICN
)
,
F. Iachello
(
- Yale U.
)

Mar, 2002

31 pages

Published in:

Annals Phys. 298 (2002) 334-360

e-Print:

nucl-th/0203072 [nucl-th]

DOI:

10.1006/aphy.2002.6255

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Abstract:

A new method is introduced to study three-body clusters. Triangular configurations with

{\cal D}_{3h}

point-group symmetry are analyzed. The spectrum, transition form factors and

B(E\lambda)

values of

^{12}

C are investigated. It is concluded that the low-lying spectrum of

^{12}

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.

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