Journal Article FZJ-2021-04414

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Wigner SU(4) symmetry, clustering, and the spectrum of $^{12}$C

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2021
Springer Heidelberg

The European physical journal / A 57(9), 276 () [10.1140/epja/s10050-021-00586-6]

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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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Contributing Institute(s):
  1. Theorie der Starken Wechselwirkung (IAS-4)
Research Program(s):
  1. 5111 - Domain-Specific Simulation Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)
  2. DFG project 196253076 - TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik (196253076) (196253076)
  3. Nuclear Lattice Simulations (hfz02_20190501) (hfz02_20190501)

Appears in the scientific report 2021
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Medline ; Creative Commons Attribution CC BY 4.0 ; OpenAccess ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DEAL Springer ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; NationallizenzNationallizenz ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection
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 Record created 2021-11-22, last modified 2023-03-10


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