| Home > Publications database > Wigner SU(4) symmetry, clustering, and the spectrum of $^{12}$C |
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| Journal Article | FZJ-2021-04414 |
; ; ;
2021
Springer
Heidelberg
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Please use a persistent id in citations: http://hdl.handle.net/2128/29114 doi:10.1140/epja/s10050-021-00586-6
Abstract: We present lattice calculations of the low-lying spectrum of 12C using a simple nucleon–nucleon interaction that is independent of spin and isospin and therefore invariant under Wigner’s SU(4) symmetry. We find strong signals for all excited states up to ∼15 MeV above the ground state, and explore the structure of each state using a large variety of α cluster and harmonic oscillator trial states, projected onto given irreducible representations of the cubic group. We are able to verify earlier findings for the α clustering in the Hoyle state and the second 2+ state of 12C. The success of these calculations to describe the full low-lying energy spectrum using spin-independent interactions suggest that either the spin-orbit interactions are somewhat weak in the 12C system, or the effects of α clustering are diminishing their influence. This is in agreement with previous findings from ab initio shell model calculations.
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