Algebraic approaches in nuclear physics (Q1574981)

In this excellent review article the author discusses algebraic approaches in nuclear physics. The emphasis is on aspects that can not be found in the same form in other publications of the subject. He discusses the relation between bosons and fermions, as well as some of the standard formalism underlying all algebraic models in nuclear physics. He then contrasts fermionic and bosonic models. He ends with a case study on supersymmetry in superdeformed nuclei. Contents: 1) Introduction. 2) Symmetries, algebras and groups. 3) Bosons vs. fermions. 4) Nuclear models based on algebras (The Elliott SU(3) model, Pseudo-SU(3) and symplectic models). 5) Odd nuclei and odd-odd nuclei (core-particle coupling) dynamical symmetries of the interacting boson fermion model (IBFM). 6) Supersymmetric quantum mechanics (superdeformed bands in neighbouring nuclei). 7) Future studies (drip-line nuclei, effective symmetry-based shell model truncations).