%0 Journal Article
%A Shen, Shihang
%A Lähde, Timo A.
%A Lee, Dean
%A Meißner, Ulf-G.
%T Wigner SU(4) symmetry, clustering, and the spectrum of $^{12}$C
%J The European physical journal / A
%V 57
%N 9
%@ 1434-6001
%C Heidelberg
%I Springer
%M FZJ-2021-04414
%P 276
%D 2021
%X 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.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000698108300001
%R 10.1140/epja/s10050-021-00586-6
%U https://juser.fz-juelich.de/record/902619