Robustness of the Proxy-SU(3) Symmetry in Atomic Nuclei and the Role of the Next-Highest-Weight Irreducible Representation
The proxy-SU(3) symmetry predicts, in a parameter-free way, the collective deformation variables β and γ in even–even atomic nuclei away from closed shells based on the highest weight irreducible representations (irreps) of SU(3) in the relevant proton and neutron shells, which are the most symmetric irreps allowed by the Pauli principle and the short-range nature of the nucleon–nucleon interactions. The special cases in which the use of the next-highest-weight irrep of SU(3) becomes necessary are pointed out, and numerical results are given for several regions of the nuclear chart, which can be used as input for irrep-mixing calculations.
Authors
- N. Minkov (ORCID: https://orcid.org/0000-0002-4416-6497)
- T. J. Mertzimekis (ORCID: https://orcid.org/0000-0001-9191-7903)
- Polytimos Vasileiou (ORCID: https://orcid.org/0000-0003-1446-8619)
- Spyridon K. Peroulis
- D. Petrellis (ORCID: https://orcid.org/0000-0002-8609-7522)
- Andriana Martinou (ORCID: https://orcid.org/0000-0003-3140-2136)
- Dennis Bonatsos (ORCID: https://orcid.org/0000-0003-1728-0910)
Institutions
- National and Kapodistrian University of Athens (GR)
- National Centre of Scientific Research "Demokritos" (GR)
- Bulgarian Academy of Sciences (BG)
- Institute of Nuclear and Particle Physics (GR)
- Czech Academy of Sciences, Nuclear Physics Institute (CZ)
Publication Details
- Journal
- Symmetry
- Published
- 2024-12-07
- DOI
- https://doi.org/10.3390/sym16121625
- Citations
- 4
- Primary Topic
- Nuclear physics research studies
- Type
- article
- Field-Weighted Citation Impact
- 2.64