Triangular symmetry in cluster nuclei
R. Bijker, A.H. Santana-Vald\'es
TL;DR
This paper provides evidence for triangular symmetry in cluster nuclei, analyzing rotational bands in 12C and 13C to identify geometric configurations of alpha particles, advancing understanding of nuclear structure.
Contribution
It introduces a method to identify triangular symmetry in cluster nuclei through rotational band analysis, specifically applying it to 12C and 13C.
Findings
Rotational bands exhibit signatures of triangular D(3h) symmetry.
The structure of these bands can serve as a geometric fingerprint.
Application to 12C and 13C supports the presence of triangular configurations.
Abstract
In this contribution, we present evidence for the occurrence of triangular symmetry in cluster nuclei. We discuss the structure of rotational bands for 3-alpha and 3-alpha+1 configurations with triangular D(3h) symmetry by exploiting the double group D'(3h), and study the application to 12C and 13C. The structure of rotational bands can be used as a fingerprint of the underlying geometric configuration of alpha-particles.
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