Robustness of the Proxy-SU(3) Symmetry in Atomic Nuclei and the Role of the Next-Highest-Weight Irreducible Representation
Year: 2024
Type: article
Abstract: 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.
Source: Symmetry
DOI: 10.3390/sym16121625
Institutions: National Centre of Scientific Research "Demokritos", Institute of Nuclear and Particle Physics, Czech Academy of Sciences, Czech Academy of Sciences, Nuclear Physics Institute, National and Kapodistrian University of Athens, Bulgarian Academy of Sciences, Institute for Nuclear Research and Nuclear Energy
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,728
Funder: Bulgarian National Science Fund
Award: G4764142549
OpenAlex ID: W4405192765