https://doi.org/10.1140/epjp/s13360-020-00749-2
Regular Article
Shell model structure of proxy-SU(3) pairs of orbitals
1
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
Received:
1
July
2020
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[110] 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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
