Highest weight irreducible representations favored by nuclear forces within SU(3)-symmetric fermionic systems
1 Institute of Nuclear and Particle Physics, National Centre of Scientific Research “Demokritos”,, GR-15310 Aghia Paraskevi Attiki, Greece
2 Department of Physics, University of Zagreb, HR-10000 Zagreb, Croatia
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Published online: 10 September 2021
The consequences of the attractive, short-range nucleon-nucleon (NN) interaction on the wave functions of nuclear models bearing the SU(3) symmetry are reviewed. The NN interaction favors the most symmetric spatial SU(3) irreducible representation (irrep), which corresponds to the maximal spatial overlap among the fermions. The consideration of the highest weight (hw) irreps in nuclei and in alkali metal clusters, leads to the prediction of a prolate to oblate shape transition beyond the mid–shell region. Subsequently, the consequences of the use of the hw irreps on the binding energies and two-neutron separation energies in the rare earth region are discussed within the proxy-SU(3) scheme, by considering a very simple Hamiltonian, containing only thethree dimensional (3D) isotropic harmonic oscillator (HO) term and the quadrupole-quadrupole interaction. This Hamiltonian conserves the SU(3) symmetry and treats the nucleus as a rigid rotator.
© The Authors, published by EDP Sciences, 2021
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