TY  - JOUR
AU  - Shen, Shihang
AU  - Lähde, Timo A.
AU  - Lee, Dean
AU  - Meißner, Ulf-G.
TI  - Wigner SU(4) symmetry, clustering, and the spectrum of $^{12}$C
JO  - The European physical journal / A
VL  - 57
IS  - 9
SN  - 1434-6001
CY  - Heidelberg
PB  - Springer
M1  - FZJ-2021-04414
SP  - 276
PY  - 2021
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000698108300001
DO  - DOI:10.1140/epja/s10050-021-00586-6
UR  - https://juser.fz-juelich.de/record/902619
ER  -