https://doi.org/10.1051/epjconf/202430404001
On a vector boson model realization of the proxy-SU(3) symmetry
1 Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Tzarigrad Road 72, BG-1784 Sofia, Bulgaria
2 Institute of Nuclear and Particle Physics, National Centre of Scientific Research “Demokritos”, GR-15310 Aghia Paraskevi, Attica, Greece.
* e-mail: nminkov@inrne.bas.bg
** e-mail: bonat@inp.demokritos.gr
Published online: 8 October 2024
We test the capability of highest-weight (h.w.) irreducible representations (irreps) (λ, µ)hw determined in the model scheme with proxy SU(3) symmetry to describe groundand γ- collective bands and transition rates in heavy even-even nuclei when applied within the vector boson model (VBM) with broken SU(3) symmetry. We find that for nuclei with closely disposed groundand γ-band energy levels the obtained root-mean square (RMS) deviations between theory and experiment exceed those obtained in the original VBM application in which the (λ, µ) free values are freely adjusted to data. In nuclei with a large ground-γ energy distance we find that the quality of the (λ, µ)hw description coincides with that obtained by (λ, µ) free. This preliminary result suggests that the proxy SU(3) symmetry may be realized in terms of the algebraic VBM.
© The Authors, published by EDP Sciences, 2024
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