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

001     902619
005     20230310131352.0
024 7 _ |a 10.1140/epja/s10050-021-00586-6
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024 7 _ |a 1434-6001
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024 7 _ |a 1434-601X
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037 _ _ |a FZJ-2021-04414
082 _ _ |a 530
100 1 _ |a Shen, Shihang
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245 _ _ |a Wigner SU(4) symmetry, clustering, and the spectrum of $^{12}$C
260 _ _ |a Heidelberg
|c 2021
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520 _ _ |a 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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536 _ _ |a DFG project 196253076 - TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik (196253076)
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536 _ _ |a Nuclear Lattice Simulations (hfz02_20190501)
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700 1 _ |a Lähde, Timo A.
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700 1 _ |a Lee, Dean
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700 1 _ |a Meißner, Ulf-G.
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773 _ _ |a 10.1140/epja/s10050-021-00586-6
|g Vol. 57, no. 9, p. 276
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|t The European physical journal / A
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|y 2021
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856 4 _ |u https://juser.fz-juelich.de/record/902619/files/Shen2021_Article_WignerSU4SymmetryClusteringAnd.pdf
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