Abstract
Experimental tests of the Interacting Boson Approximation (IBA) and the Interacting Boson-Fermion Approximation (IBFA) are viewed in a broad perspective. A thorough outline is given of the parameterization of the various boson-boson and boson-fermion interactions in use. Emphasis is placed on tests of the phenomenological IBA and IBFA with the smallest useful number of parameters. The discussion is confined to the most outstanding successes and to the most serious failings of these simple forms of the IBA and IBFA. Particular attention is given to the influence of pair excitations on the low-energy collective structure in nuclei. These can occur across major shell gaps and across subshell gaps, giving rise to coexisting collective behavior (shape coexistence). Until now, the influence of pair excitations across subshell gaps on low-energy collective structure appears to have been seriously overlooked.
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