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

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.

arXiv comment5 pages, 6 figures, 1 table, final version, accepted for publication in Physical Review Letters (2019)

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• The algebraic cluster model. Three-body clusters
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Cited by in corpus (11)

• Microscopic Clustering in Light Nuclei
• Positive-parity linear-chain molecular band in ${}^{16}$C
• Shape of 13C studied by the real-time evolution method
• Cluster structure of 21Ne and 21Na
• Proxy-$SU(4)$ symmetry in A=60-90 region
• Discrete symmetries in the cluster shell model
• Magnetic dipole moments as a strong signature for $\alpha$-clustering in even-even self-conjugate nuclei
• Signatures of $\alpha$-clustering in ${}^{12}$C and ${}^{13}$C
• Symplectic symmetry approach to clustering in atomic nuclei: The case of ${}^{24}$Mg
• Odd-mass nuclei in the cluster shell model
• Triangular symmetry in cluster nuclei