The Algebraic Cluster Model: Structure of 16O

TL;DR

This paper presents an algebraic model for the structure of 16O, describing it as a tetrahedral cluster of four alpha particles with a flexible, non-rigid configuration, analyzing its energy spectrum and transition properties.

Contribution

It introduces an algebraic approach to four-body clusters with symmetry considerations, specifically applying it to 16O's tetrahedral alpha-cluster configuration.

Findings

16O's low-lying spectrum is consistent with a tetrahedral alpha-cluster model

The structure is non-rigid with significant rotation-vibration interactions

Transition form factors and B(EL) values support the tetrahedral configuration

Abstract

We discuss an algebraic treatment of four-body clusters which includes both continuous and discrete symmetries. In particular, tetrahedral configurations with T(d) symmetry are analyzed with respect to the energy spectrum, transition form factors and B(EL) values. It is concluded that the low-lying spectrum of 16O can be described by four alpha-particles at the vertices of a regular tetrahedron, not as a rigid structure but rather a more floppy structure with relatively large rotation-vibration interactions and Coriolis forces.