Dynamical symmetries of the shell model

摘要

The use of spectrum generating algebras in the nuclear shell model is reviewed. Older ideas due to Wigner, Racah and Elliott are succinctly summarised to put more recent advances in a proper perspective. The latter include the SO(8) model with T = 0 and T = 1 pairing, the fermion dynamical symmetry model, and pseudo-SU(3) and pseudo-SU(4) symmetries arising from the combination of the isospin and pseudo-spin degrees of freedom. [References: 42]