# Evidence for Triangular D'(3h) Symmetry in 13C

## TL;DR

This paper demonstrates the presence of triangular D'(3h) symmetry in the rotation-vibration spectrum of 13C, using symmetry-based derivations to provide benchmarks for microscopic nuclear structure calculations.

## Contribution

It introduces a symmetry-based approach to analyze the rotation-vibration spectrum of 13C, revealing evidence for D'(3h) symmetry in its cluster structure.

## Key findings

- Evidence of D'(3h) symmetry in 13C spectra
- Provides symmetry-based benchmarks for nuclear models
- Enhances understanding of light nuclei cluster structures

## Abstract

We derive the rotation-vibration spectrum of a 3alpha+1 neutron (proton) configuration with triangular D(3h) symmetry by exploiting the properties of the double group D'(3h), and show evidence for this symmetry to occur in the rotation-vibration spectra of 13C. Our results, based on purely symmetry considerations, provide benchmarks for microscopic calculations of the cluster structure of light nuclei.