https://doi.org/10.1140/epja/s10050-022-00892-7
Regular Article - Theoretical Physics
Stability/self-consistency of SU(3) highest-weight irreps
Chiba Institute of Technology, Narashino, 275-0023, Chiba, Japan
a
masahiko.sugawara@it-chiba.ac.jp
Received:
11
September
2022
Accepted:
23
November
2022
Published online:
29
November
2022
Recently the highest-weight irreducible representations (hw irreps) of the SU(3) symmetry came to attract a lot of attention as dominant spatial configurations of ground states in deformed nuclei from the viewpoint that they are the most symmetric spatial configurations. In thinking of dominant configurations, the stability of the configurations is also important. The stability can be interpreted as the self-consistency of the configurations in the deformed potential produced by themselves. That question is investigated in this report through a simple procedure within the three-dimensional harmonic oscillator (3D-HO) shell model. It has been found that while the hw irreps are always self-consistent up to the midshell, in some cases after the midshell, they become unstable and replaced by the ones with the highest eigen-value of the second Casimir operator through the procedure. These unstable cases have turned out to lie within the islands of shape coexistence recently predicted on the basis of the dual-shell mechanism that includes both the 3D-HO and the spin-orbit(SO) like shells. This can be another effect to boost the shape coexistence in these regions.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
