Shell model structure of proxy-SU(3) pairs of orbitals
Institute of Nuclear and Particle Physics, National Centre for Scientific Research “Demokritos”, 15310, Aghia Paraskevi, Attiki, Greece
2 Faculty of Physics, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, Iran
Accepted: 3 September 2020
Published online: 9 September 2020
The Nilsson orbitals used in the substitutions occurring in the proxy-SU(3) scheme, which are the orbitals bearing the maximum value of total angular momentum in each shell, have an extremely simple structure in the shell model basis , with each Nilsson orbital corresponding to a single-shell model eigenvector. This simple structure is valid at all deformations for these orbitals, while in other orbitals it is valid only at small deformations. Nilsson 0 pairs are found to correspond to pairs in the spherical shell model basis, paving the way for using the proxy-SU(3) approximation within the shell model.
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